{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Geostat - figures for course\n",
    "\n",
    "\n",
    "January 2018 - P. Renard\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import geostat as geo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## External data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "mydata = np.genfromtxt('ZoneA.csv', delimiter=',')\n",
    "x = mydata[1:-1,0:2]\n",
    "x /= max(x[:,0])\n",
    "v = mydata[1:-1,2]\n",
    "n = len(v)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Synthetic data set\n",
    "Generates a data set by simulation of a random gaussian process with known parameters. This data set will then be used to test the construction and identification of a variogram model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "n=150 # Number of points\n",
    "x=np.random.rand(n,2) # random locations\n",
    "\n",
    "#import halton as ht\n",
    "#x = ht.halton(2, n)\n",
    "\n",
    "covar = geo.Covariance(rang=0.3, sill=1000, typ='exponential',nugget=100)\n",
    "v = geo.unconditionnal_lu( x, covar, nsimuls=1 )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploratory data analysis\n",
    "\n",
    "We first plot the map and histogram of the data and then the variogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cvOjp2x4d5wgvMWlvkVD61IM5sqXJgYqSsn4pkxxTLKwFlolemZ2lhNFo5UVE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\nxe/e+QMKXxAYw1973ws82prm9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R+A+WbIVrlJv3CEJ7COADtWjYPDRSYjeIRAIC2HxIEw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f2uo3aDAYDIbdxe21g3z1/JPL8nmTNOV7U5NorFyeaZOEmfKb08EhWIoI2LlTlybK7GxEUMhS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\nQwf+fzLkdcKNc8HhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacd65b6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the data for visual check\n",
    "plt.figure(figsize=(12,10))\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.hist(v, density=True, cumulative=False, histtype='bar')\n",
    "plt.xlabel('Z')\n",
    "plt.title('Histogram')\n",
    "\n",
    "plt.subplot(222)\n",
    "v.shape=(n,)\n",
    "s = v-np.min(v)\n",
    "plt.scatter(x[:,0], x[:,1], s=s*10, c=v, alpha=0.5)\n",
    "plt.title('Map of measured Z(x)')\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SszJLPinN0HQ67VamGwW+N/wvNIIHH//5qEmmohw60s/Tz+/h0JF+FfQ32PXK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CzlKPkOqlBI6iHarBhGg45ylpOS61B0XDwpMTWViG7c9jLRzWaM3W1beW7iIB1WU80ZxKxTIGlE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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacda04550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,8))\n",
    "plt.scatter(x[:,0], x[:,1], s=s*4, c=v, alpha=0.5)\n",
    "#for i in range(n):\n",
    "#    plt.text(x[i,0]-0.03, x[i,1]+0.02, '%4.1f' % (s[i]) ,fontsize=14)\n",
    "plt.xlabel('x',fontsize=20)\n",
    "plt.ylabel('y',fontsize=20)\n",
    "plt.savefig('tmp.png',pad_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAg\nSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDVqZkNAkhcl+XKSLyV5d5Lb\nJdkvyXlJvp7kvUl2mnadkiStVjMZApLsBfwBcFBV3Re4DfA04A3AX1fV/sA1wLHTq1KSpNVtJkNA\nbw3wc0nWALcHNgGHAu/r168HjppSbZIkrXozGQKq6jvAm4DL6d78rwXOB75fVTf1za4A9hr2/CTH\nJdmYZOPmzZtXomRJkladmQwBSXYFjgT2A34euANw+JCmNez5VXViVR1UVQetXbt2coVKkrSKzWQI\nAB4DfLOqNlfVT4D3A48AdulPDwDsDVw5rQIlSVrtZjUEXA48LMntkwQ4DPgK8DHgKX2bY4Azp1Sf\nJEmr3kyGgKo6j24A4AXAF+nqPBF4KfBHSS4B7gKcNLUiJUla5dYs3WQ6qup44PgFiy8FHjqFciRJ\n2u7MZE+AJEmaPEOAJEmNMgRIktSomR0TIEmtm1u3YdolaDtnT4AkSY0yBEiS1ChDgCRJjTIESJLU\nKEOAJEmNMgRIktQoQ4AkSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmNMgRIktQoQ4AkSY0yBEiS1ChD\ngCRJjTIESJLUKEOAJEmNMgRIktQoQ4AkSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmNMgRIktQoQ4Ak\nSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmNMgRIktQoQ4AkSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmN\nMgRIktQoQ4AkSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmNMgRIktQoQ4AkSY0yBEiS1ChDgCRJjTIE\nSJLUKEOAJEmNWrOtG0hyL+Bw4EfAe6rq2m2uSpIkTdyyewKSvDLJpiS7DSx7DPB54E3A24ALktxl\n/GVKkqRxG+V0wOHAV6vqewPLXgcUcDzwdmA/4IXjK0+SJE3KKCFgDrh4/kGSvYAHA2+rqj+rqt8H\nPgocNdYKJUnSRIwSAnYFBnsBDqbrBfjAwLLzgX3HUJckSZqwUULAZmCvgcePBn4CnDewbKcRtylJ\nkqZklKsDLgSOSHJf4MfAbwCfrqrrB9rMAZvGV54kSZqUUT61vxHYGbgI+Fp//y/nVya5HXAIsHGM\n9UmSpAlZdk9AVX0qyZOA36MbC3BqVX1ooMkjgMuAM8ZaoSRJmoiRJguqqg8DH15k3UeBA8dRlCRJ\nmjwH8UmS1KiRQkCSHZK8IMm5Sa5NctPAugOTvC3JPcdfpiRJGrdRpg3eCTgbOAH4BeCHQAaafBP4\nHeAZ4yxQkiRNxig9AS+hmxvg1cAewDsGV1bV94FPAo8bW3WSJGliRgkBzwA+U1Wvqaqb6a4QWOib\nOGOgJEmrwighYD/g3CXafA/YbYk2kiRpBowSAq4Hdlmizb7A97e+HEmStFJGCQEXAr/aDxC8lSQ7\n040H+Nw4CpMkSZM1ymRB/wc4FTg1ybGDK5LsAryL7psG/2585UnS5Myt2zDtEqSpGmXa4HcneQzw\nbOAI4BqAJBuB+wC3Bf62qj44iUIlSdJ4jTRZUFUdSzcXwFeAtXTzBDwIuAQ4tqpeMPYKJUnSRIz0\n3QEAVXUycHKSn6Pr/r+2qv5r3IVJkqTJGjkEzKuq6+muGJAkSavQzH6BUJJdkrwvyVeTXJzk4Ul2\nS3J2kq/3t7tOu05JklarRXsCkly6ldusqvqFrXzuoDcDH66qp/SXJd4eeDlwTlW9Psk6YB3w0jHs\nS5Kk5mypJ2AHuoF/o/5sc+9CkjsDjwROAqiqG/vvJjgSWN83Ww8cta37kiSpVYv2BFTV3ArWsdA9\ngM3Au5I8ADgfeCGwR1VtAqiqTUnuOuzJSY4DjgPYd1+/ykCSpGFmdUzAGrpLD99eVQcC/0XX9b8s\nVXViVR1UVQetXbt2UjVKkrSqbXUISHLnJPv0XffjdgVwRVWd1z9+H10ouCrJnv3+9wSunsC+JUlq\nwkghIMlOSV6R5Bt0MwZeBlyT5Bv98qHfKzCqqvou8O0k/6NfdBjdBEVnAcf0y44BzhzH/iRJatGy\n5wlIcifgHODBQAGXA98F7gbcHXgNcESSw6rqujHU9gK67ynYCbiUbrriHYDT+u8uuBw4egz7kSSp\nSaNMFvRq4CDg/cBLquqb8yuS7Ae8CXhy3+7F21pYVV3Y72+hw7Z125IkabTTAUcDF1bVUwYDAED/\n+CnARcBTx1ifJEmakFFCwO7ARxZbWVXVr7/LthYlSZImb5QQcBmwyxJtdu7bSZKkGTdKCPg/wFOT\n7D1sZZJ9gd/o20mSpBk3ysDA99NN5XtBkhOATwJXAXsAj6Kb0e8TwBl9IPhvVXX5eMqVJEnjMkoI\nuJTu0sAArx2yPsAR/c+gGnE/kiRpBYzy5nwK3Ru6JEnaDiw7BFTVsyZYhyRJWmGz+gVCkiRpwgwB\nkiQ1aqQBe0luDxwLPBDYG9hxSLOqKqf2lSRpxo3yBUL3B/4ZWEt3JcBiHDwoSdIqMMrpgBPoAsDx\nwBywY1XtMOTnNpMoVJIkjdcopwMeBpxeVX82qWIkSdLKGaUn4DrgW5MqRJIkraxRQsBHgV+aVCGS\nJGlljRICXg4ckGRdki0NDJQkSavAKDMGXprkl4HPAr+X5ELg2uFN69hxFShJkiZjlEsE9wbOBHbt\nf/ZbpGnRzSUgSZJm2ChXB5wA3BN4J7AeuBK4aRJFSZKkyRslBBwKfKSqfndSxUiSpJUzysDAHYAv\nTqoQSZK0skYJAecC951UIZIkaWWNEgJeARyS5GmTKkaSJK2cUcYEPJFuwqBTkzwXOJ/FLxF87TiK\nkyRJkzNKCHjVwP1H9j/DFGAIkCRpxo0SAh49sSokSdKKG2XGwE9MshBJkrSyRhkYKEmStiOGAEmS\nGjVSCEiyZ5K/TXJJkuuT/HTIj1MJS5K0CozyBUJ7AZ8D9gC+DNwW+BZwA3CPfluLfbOgJEmaMaP0\nBLwSuBvw+Kp6QL/sXVV1L7oQ8BHg54BfH2+JkiRpEkYJAY8DPlxV/7JwRVVdARxNFwJePabaJEnS\nBI0SAu5Gdxpg3k/p3vQBqKrrgLOBI8dTmiRJmqRRQsAPgJ0GHl8D7LWgzbXA2m0tSpIkTd4oIeBb\nwD4Djy8CDk1ye4AkOwC/ClwxvvIkSdKkjBICzgEenWTH/vF64OeBzyb5C+AzwH2A9463REmSNAmj\nfHfASXSnAHYHNlXVPyR5MPAC4P59m/cA/2u8JUqSpEkY5bsDvg68YcGyFyX5c7pLBC+rqqvGXJ8k\nSZqQUXoChqqqzcDmMdQiSZJW0DaHgCT3Ag4HfgS8p6qcMVCSpFVg2QMDk7wyyaYkuw0sewzweeBN\nwNuAC5LcZfxlSpKkcRvl6oDDga9W1fcGlr0OKOB44O3AfsALx1eeJEmalFFCwBxw8fyD/guFHgy8\nrar+rKp+H/gocNRYK5QkSRMxSgjYFRjsBTiYrhfgAwPLzgf2HUNdkiRpwkYJAZv52WmCHw38BDhv\nYNlOI25TkiRNyShXB1wIHJHkvsCPgd8APl1V1w+0mQM2ja88SZI0KaN8an8jsDPddwZ8rb//l/Mr\nk9wOOATYOMb6JEnShIwyY+CnkjwJ+D26sQCnVtWHBpo8ArgMOGOsFUqSpIkYabKgqvow8OFF1n0U\nOHAcRUmSpMlzEJ8kSY0yBEiS1ChDgCRJjTIESJLUKEOAJEmNMgRIktQoQ4AkSY0aaZ4AgCR3BJ5M\nNyfAzsC1wOeBM6rquvGWJ0mSJmWkEJDkaODvgF2ADKwq4IQkz6mq942xPkmSNCHLDgFJHgu8G7gZ\nOAX4OPBd4G503yj4m8C7k3y/qv5l/KVKkqRxGqUn4JXADcCvVNUFC9atT/I3wCf7doYAqXFz6zZM\nuwRJSxhlYOCBwHuHBAAAqmojcBrwoHEUJkmSJmuUEHADsGmJNlf27SRJ0owbJQR8CvjlJdocTHdK\nQJIkzbhRQsBLgfsleX2SOwyuSHKHJG8E7gusG2eBkiRpMhYdGJjknUMWfwF4CXBckguAq4A96MYB\n7EzXC/AnwLHjL1WSJI3Tlq4OeNYW1u0CHDpk+aOAR2IIkCRp5m0pBOy3YlVIkqQVt2gIqKpvrWQh\nkiRpZfkFQpIkNWqLMwYm2aqQUFU3b105kiRppSw1bfBPtmKbtYztSpKkKVvqzfrbdG/qy3FH4C7b\nVs7PSnIbYCPwnap6UpL9gPcAuwEXAM+sqhvHuU9Jklqxxe7+qpqrqv229APcE3jrwLYuG2N9LwQu\nHnj8BuCvq2p/4Bq8FFGSpK22TQMDkxxN9yb9F0DoJgo6YAx1kWRv4InAO/rHoZub4H19k/XAUePY\nlyRJLdqqc/dJHgH8JfBQ4CbgLcBrquqaMdZ2Al2ouFP/+C7A96vqpv7xFcBeY9yfJElNGaknIMkv\nJnkf3ZcJ/RJwOnBAVb1onAEgyZOAq6vq/MHFQ5oOHa+Q5LgkG5Ns3Lx587jKkiRpu7KsnoAkuwHH\nA88BdgL+FXhxVZ07oboOBo5I8gTgdsCd6XoGdkmypu8N2Jvuq4tvpapOBE4EOOigg5Y7sFGSpKZs\nsScgyU5J/gT4BvACuqsFjq6qgycYAKiql1XV3lU1BzwN+GhVPQP4GPCUvtkxwJmTqkGSpO3dUqcD\nvga8ju68/x8C96qq0yde1eJeCvxRkkvoxgicNMVaJEla1ZY6HXB3uvPuAf4Y+ONukP4WVVXdfQy1\nzW/s48DH+/uX0g1GlCRJ22g5YwJCNznPbhOuRZIkraAthoCq8guGJEnaTvkmL0lSowwBkiQ1yhAg\nSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElS\nowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMM\nAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNWrNtAuQtHXm1m2YdgmSVjl7AiRJ\napQhQJKkRhkCJElqlCFAkqRGGQIkSWqUIUCSpEYZAiRJapQhQJKkRhkCJElqlCFAkqRGGQIkSWqU\nIUCSpEYZAiRJapQhQJKkRhkCJElqlCFAkqRGGQIkSWqUIUCSpEYZAiRJapQhQJKkRhkCJElqlCFA\nkqRGGQIkSWqUIUCSpEYZAiRJapQhQJKkRhkCJElqlCFAkqRGGQIkSWqUIUCSpEYZAiRJapQhQJKk\nRhkCJElqlCFAkqRGGQIkSWqUIUCSpEYZAiRJapQhQJKkRhkCJElqlCFAkqRGGQIkSWrUmmkXMEyS\nfYBTgLsBNwMnVtWbk+wGvBeYAy4DnlpV10yrTm2/5tZtmHYJkjRxs9oTcBPw4qo6AHgY8Pwk9wbW\nAedU1f7AOf1jSZK0FWYyBFTVpqq6oL//Q+BiYC/gSGB932w9cNR0KpQkafWbyRAwKMkccCBwHrBH\nVW2CLigAd51eZZIkrW4zHQKS3BE4HfjDqvrBCM87LsnGJBs3b948uQIlSVrFZjYEJNmRLgCcWlXv\n7xdflWTPfv2ewNXDnltVJ1bVQVV10Nq1a1emYEmSVpmZDAFJApwEXFxVfzWw6izgmP7+McCZK12b\nJEnbi5m8RBA4GHgm8MUkF/bLXg68HjgtybHA5cDRU6pPkqRVbyZDQFV9Gsgiqw9byVokSdpezeTp\nAEmSNHmGAEmSGmUIkCSpUYYASZIaZQiQJKlRhgBJkhplCJAkqVGGAEmSGmUIkCSpUYYASZIaZQiQ\nJKlRhgBJkhplCJAkqVGGAEmSGmUIkCSpUYYASZIaZQiQJKlRhgBJkhplCJAkqVGGAEmSGmUIkCSp\nUYYASZIaZQiQJKlRhgBJkhplCJAkqVGGAEmSGmUIkCSpUYYASZIatWbaBahNc+s2TLsESWqePQGS\nJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1\nyhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqPWTLsAjd/c\nug3TLkGStArYEyBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNcoQIElS\nowwBkiQ1yhAgSVKjDAGSJDWv7nIfAAAGSElEQVTKECBJUqMMAZIkNcoQIElSowwBkiQ1yhAgSVKj\nDAGSJDXKECBJUqMMAZIkNWrNtAtYbebWbZh2CZIkjYU9AZIkNcoQIElSowwBkiQ1atWFgCSPT/K1\nJJckWTfteiRJWq1WVQhIchvgb4HDgXsDT09y7+lWJUnS6rSqQgDwUOCSqrq0qm4E3gMcOeWaJEla\nlVZbCNgL+PbA4yv6ZZIkaUSrbZ6ADFlWt2qUHAcc1z+8LsnXJlrV6rU78B/TLmLGeYyW5jHaMo/P\n0po+RnnDspqNcozuvtx9r7YQcAWwz8DjvYErFzaqqhOBE1eqqNUqycaqOmjadcwyj9HSPEZb5vFZ\nmsdoaZM6RqvtdMC/Afsn2S/JTsDTgLOmXJMkSavSquoJqKqbkvw+8BHgNsA7q+rLUy5LkqRVaVWF\nAICq+iDwwWnXsZ3wlMnSPEZL8xhtmcdnaR6jpU3kGKXqVuPqJElSA1bbmABJkjQmhoDGJHlgknOT\nXJhkY5KH9suT5C39dMxfSPKgadc6TUle0E9P/eUkbxxY/rL+GH0tyeOmWeMsSPLHSSrJ7v1jX0e9\nJH+R5Kv9cTgjyS4D63wd9ZwK/taS7JPkY0ku7v8PemG/fLckZyf5en+767buyxDQnjcCr66qBwKv\n7B9DNxXz/v3PccDbp1Pe9CV5NN1MlPevqvsAb+qX35vuipT7AI8H3tZPZd2kJPsAjwUuH1js6+gW\nZwP3rar7A/8OvAx8HQ1yKvhF3QS8uKoOAB4GPL8/LuuAc6pqf+Cc/vE2MQS0p4A79/d35pZ5Fo4E\nTqnOucAuSfacRoEz4HnA66vqBoCqurpffiTwnqq6oaq+CVxCN5V1q/4a+BN+dsIuX0e9qvrnqrqp\nf3gu3bwm4OtokFPBD1FVm6rqgv7+D4GL6WbHPRJY3zdbDxy1rfsyBLTnD4G/SPJtuk+4L+uXOyXz\nLe4J/EqS85J8IslD+uUeo16SI4DvVNVFC1Z5jIb7HeBD/X2P0S08FktIMgccCJwH7FFVm6ALCsBd\nt3X7q+4SQS0tyb8Adxuy6hXAYcCLqur0JE8FTgIewzKnZN5eLHGM1gC70nXDPQQ4Lck98BjNewXw\ncuBXhz1tyLImj1FVndm3eQVd9+6p808b0n67PUZL8FhsQZI7AqcDf1hVP0iGHa5tYwjYDlXVYxZb\nl+QU4IX9w/8LvKO/v6wpmbcXSxyj5wHvr+762c8luZlu3m6PEZDkfsB+wEX9f0p7Axf0g0w9RgOS\nHAM8CTisbrkeu6ljtASPxSKS7EgXAE6tqvf3i69KsmdVbepPs129+BaWx9MB7bkSeFR//1Dg6/39\ns4Df7kd3Pwy4dr7bqUH/RHdsSHJPYCe6L+44C3haktsm2Y9u8NvnplbllFTVF6vqrlU1V1VzdP+R\nP6iqvouvo/+W5PHAS4EjqupHA6t8Hd3CqeCHSJeuTwIurqq/Glh1FnBMf/8Y4Mxt3Zc9Ae35PeDN\nSdYAP+aWb1v8IPAEukFKPwKePZ3yZsI7gXcm+RJwI3BM/ynuy0lOA75C1737/Kr66RTrnEW+jm7x\nN8BtgbP7HpNzq+q5VeXrqOdU8Is6GHgm8MUkF/bLXg68nu705LF0V+Ucva07csZASZIa5ekASZIa\nZQiQJKlRhgBJkhplCJAkqVGGAEmSGmUIkCSpUYYASdssyWX9Vwov5+fkadcrqeNkQZLG4QRgly2s\nvz3wR3QTwnxpRSqStCQnC5I0Uf0UqKcBT6GbC/3o8j8eaSZ4OkDSpL2GLgB8HvhtA4A0O+wJkDQx\nSZ4GvBv4LvCQqrpiyiVJGmAIkDQR/VcLf6J/eEhVnTfNeiTdmgMDJY1dkr3ovpL5dsBvGQCk2eSY\nAEljleT2dN97vifwuqo6dcolSVqEpwMkjc2CKwHOBJ7sQEBpdtkTIGmcXk0XAL5AdxrAACDNMHsC\nJI3FwJUAVwMPrapvTbkkSUswBEjaZkkeAnySrnfx0Kr6zJRLkrQMhgBJ2yTJnYCv0Q0E/Dfgg0s8\n5bKqOnnSdUlamiFA0jZJMgd8c4SnfKKqDplIMZJGYgiQJKlRXh0gSVKjDAGSJDXKECBJUqMMAZIk\nNcoQIElSowwBkiQ1yhAgSVKjDAGSJDXKECBJUqMMAZIkNer/Azi05tJwOl6WAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacbfb4e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,8))\n",
    "plt.hist(v, cumulative=True, histtype='bar')\n",
    "plt.xlabel('Z',fontsize=20)\n",
    "plt.ylabel('Nb samples',fontsize=20)\n",
    "plt.title('Cumulative Histogram',fontsize=20)\n",
    "\n",
    "plt.savefig('tmp.png',pad_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "# Save the data into a csv file to transfer them in Ar2Gems\n",
    "\n",
    "f = open('data.csv', 'w')\n",
    "f.write(\"x,y,v\\n\")\n",
    "for i in range(n):\n",
    "    f.write('%f,%f,%f\\n' % (x[i,0],x[i,1],s[i]))\n",
    "f.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TRX8W2uuLyc1MTp/98frQ/k9v2dsnoZJP0F25sI4HG7zij+mUcPHcCWzd3xFK\n4rQnqx4/96MUE11fJ7kkE1OcI74cTTIuuu/6H3nfI0B1Wlhx68VFHSturNEAgnwCqtx7YufE1I6p\nJiUCRYRT94XhFmgwUBTSVDb4kV5x/IuITAZKetpFZCzwPuAmAFXtArpEZClwqb/bT/AE2VeApXhF\nLRVYJyLjRWSav+8qVT3sH3cVXqn+FaWMZyQTN1n0Z7HDSpnc4kJcS8EWIpA/bHXR7Fru+Hi9Fwqt\nyr1rdyauzAerDlXc/coXshv3vZtS/MUEQKzb0Uq3L1AAujNhAVqo0VZSDkolJ9ykSLeqlICfL5VK\nCbdfUd9vE70LNIinUEjxf4BnAvPL4AeIyERVPYCnvZTCXOAg8H9E5B1AA/BXwBS//AuqutcXWAAz\ngF3W51v8bUnbcxCRW4FbAWbN6j/7/FAmKXIpKeu5HAo5bYuNEjNaiTHt5NNS4vp+2ELkqoV1oXDl\nrzz0EhfNnRCaXNuOd5FVDSbotuNdQbvd6PErVYeqnMTCcgRcNBDhwYYWVtySXztdMncCo3xzFcCo\ndK8JME4bBbh++Vq6M8ooX6tZMndCTvn8Smgo9nWZ+xdazGQU8LRJQWk73tXncyVRCf/iSKRYR/0G\nEblFVdcBiMhVwP/CM4OVc86FwH9T1fUi8q94pq4k4qLNNM/23I2qy4HlAIsXLz4pa5bFRS5dvmBa\nSfWhChHntL3+R+uCia/QZGbzmYtmFTR5xU1wUW1JgaqU0JXxJprtB4+x/eAxVm7Yxbf8+mRJE/T9\n65sDDSYubDdpTIWEaCVMkMVOaOt2tPoTrUdXT+E8oEWza1lxy5LAp2LXuIrTRne3dwZCqyujPLyp\nhRnjT+3Nc+nJxt7Hconr92K+v7SvqWQyA6M9VFoDGwkUK1Q+A9zjl2iZDkwAPlDmOVuAFlU1hvOH\n8ITKfhGZ5msp0+jVgFqAmdbn64A9/vZLI9tXlzmmEYtdYDDqwI1OEA/H5GaUcy7z+b99dHOw2i1m\nMiuVuAkuKiCuWliHAPetbw59NpMN1yeL0yRuf3wLPX7I0onu/LkeSaVJzDjte2qP+63uLMuebOT2\nj5dupilmQlsydwKj0hKKcCsmDyjp2HEC+JFNLaF9JLKflFCHrBjs+9fV7fV7sTUhs085CaSOvlNs\nQcnNIvJt4GdAB/A+VW0p8LGkY+0TkV0iMl9VtwIfBF7x/90I/KP//8f9jzwB/IWIrMRz1B/xBc+v\ngO+IiPklXAZ8rZwxjVTiVnRRE4S9wnuooSX4u5gqw/Zk2rjnCA9u3EVPtnc1eqDjRGh/87pSD3Ih\np7B9fOOMt7Hrk0Un0XU7WskaJJ8tAAAgAElEQVRkeydiBWrHVMfeg6Qijg9vagk6QEazzY32BPBS\nyxGu/9G6kjS5Ylk0u5YVt17MsicbeanlCBAfZFDsd5Lv/prvwQisqM+jUr6HYhIzi7mPLnqrfyhK\nqIjIj4GzgLfjmbye9Pur3FXmef8bcJ8f+bUD+FM8M//PReQLQDNwjb/vL/DCibfjhRT/KYCqHhaR\nbwEb/P2WGae9wyO6krd9BRCeIPa0d3K/n3zYky1cZTiaZGdjVqOTa0aHtk+uGV3wQS5F4CRNcFEB\nYZtztu3vYFNzO1qgPtmSuRNIpyTQVARi7fPhHIxwEUchvv/6otm1XDp/Mr9+ZX/OPeuvSW3BjHG8\nuvdobB+QUifXpPub73sop3yPTZxvq1BiZiFc9Fb/UKz5awtwsx+B9YZfUPJfyj2p30VyccxbH4zZ\nV4HbEo5zD3BPueMYKSRNxMU4c82D39DUxgMbdgWTaFbzh8zaSXY2ph+HOVd0BZvvQS5n5VisTTvq\n08gXvWT2LaZAZvQeR80w5vrT6XDHytXbDoaOU5UWdrd30tDUVtGJrZg+IJWYXAt9D33xPST9Lgol\nZhbCRW/1D8Wav74beX0E+EK/jMhRFMU0YyolOiU0ifoO1XwPWdQEkRKoSqe4elEdC6aPC84Zt4JN\nepBLndyK1WriBIY5nyEuoCBfgcykEFrbvNjQ1BabLLluRys9mV5TnACqysoXmnlkU0tFzTD2PbX7\ngNjjtyfXdErY0w/CrS8k/S76Gn3lorf6h0LJj0/iRU39UlW7I+/Nxcs12elrDI4BopRmTKWsEOdP\nreHTF8wsKp8hajNvO95F7Zhqtuw5wh1PNtKT6RVySSa3vuSBJIW2FpPsuXVfB7c/voVMVhk9KsX7\n5k1KDCiIu39JZVPiItHikiWXzA33nvFMjt6xk4pZlktSmHd0rPfdvISHN7XwUEMLK15o5uEKC7dK\nX4Ohr9FXLnqr8hTSVG4BvgTcKSKH8fJLTsErpfI68D1VfTz5447+wF65qSoiINq30hfRiabe0jbM\nOYsJk7V9LEnaRj5TVLErx7jItTineHS/Rza1hMx8Xd1Z9h8NpWAV7JMdt3KGXv+JKd9/5cK6xMoB\nRis0CwJDKiU5AQ9xQq0vfqe4xMnb3n92oEElaYqDVcDRaRTDi0LJj/uALwNfFpE5wDSgE9imqsf7\nfXSOWALTk3EQ+7kn75s3KfEzhR76UJimlVdgMpR7MtmQeSsaRRb1sUR9K0ljyle+vZh7YCbsQx0n\nAoF2otsTMkYrsPdTCDQE8Cbxay+Yxat7twTJe1ctrCvp3EvmTmDrvg7ELw2iwAMbvBBm42OJZpeb\nyLrla16nqfV4kHh13rSxbN59JO/EXkygQ9QUV0gjbGhqY3d7J1XpVGyOx2AXcHQaxfChkPnrI6r6\nKwBV3YlX6NG8d42qPtivo3PEsmh2LbdfUc/yNa+z05+QMgqrXtnPmtcOxk40hR76xLwCK0O5qycb\nlKe3y5dHJ+90Srhm8cyCJrSkPBnbnJaUhR01v93xxJZAoCnwUENL4JCOJmQajcbU9iqluZiZtKMO\n+WVPNYZCkHuyXvLk6FGe8z4uf2XZU42hEvXVVSmuvWAWW/cnh98WCnSIlvFPKk2TVFm4KiVcd+Gs\nnO8u33kHMorK5ZUMfQqZv34hImuA/6qquyPvfQ1wQmUQsIsJgu/o9f91xTzUSQ999AE1VW/rp43l\n3rU7fQEDipD1hYw9cffVaRoVRA81tATmF0PSxAi9q9e7nt0emLMMmUx4bPZno74g45QuNOYk4WzM\nSVHM97F8zeuJ5rJoiXrwNE7ThTGf8I+W2YmW8TfJgXE+Gvt6v/7o5kC4ZbLKdN+Zn++8trAbqCgq\nl1cyPCgkVF4G7scr5PiliGbimnUNEraQSAnMnXga2w8eA7yJpHZMdWJ0T5Kz1l5Nb9h5mNuvqGfL\nniNBQmRKQFKecEkqX16qicIWZKeOSvPMq/uJyIaiVr9L5vZ2jjTYIbw2xUTNJZEknEPCMZ3iknMm\n8dy2g4GA3NnqWYqjDbOiFQ6AkKbx6r7GnFyhqPC3ryHO/JnFM8VlNV44NzS18VBDS7BYSEdL/Vvn\nTVo0VNLnkU8TcXklw4NCQkVV9Uci8hxesuLHgNt8f8pJWUOrPyhVpY8KiQvnTuD1g8eCVW/jniM5\nE2Y+Z21Xj1fqwn5gt+w5wq7Dx4P6WQCfXjyTGeNPpaOzm8a9R0N9PMq5RlvjqkoJVelUMBEb7Ss6\nEccdZ9HscOdIAa5elGt6i0bNmSKS+Xqw57vvtuM9rszLnc9s43evHUpsmBX7nViaRpJPxdyzta+3\nhiL/JtaMDnxtBgEyWXJ8TeZYdz6zLQhvFuCaxTMT70G+RUM5Po9CxUCjAjAoaY9WvBiqo3IUm6ey\nTUQuBv4B+IOIfK5/h3XyUG7CX5yfwHZGx0X3RB9QoxWYSdw8sLYpykyIpo4W9Nrf7T4e5VxjKIci\nq1x7oSe0TGjyoY4TTKwZHfhG8t0r0zmyqztLKiUsmD4uZxyh7He/NDqqsaU+kgT9VQvrcoosmu8k\n+jqanBcVWtHPRMvApNO5WkO+DP6rFtZx1cK6IDS4J+P5x0ADwWJ8TUCoZ4oxM15pBSmU678o5nPF\nFAON+ouM3yqdEm66eE5Fi6E6KkchoRKYuFS1B/iqiPwSr2dJcqiRo2jKVemT/ARxQibOnLFlz5HQ\n6zV+/5KqlHDp/MmBKSraiz1fH49SrzG68jeTnT0pVlvb890rYxYyUWvLnso1HcWZqQ4cfSsn2gpy\ne7BEt121sK6ozPxSzEJtx7tISa+QvzZGa4jL4G/ccyTQJs3vYuzoKpY/v4NsVklZhmrja9rT3hnS\naCbXjOYvP3hO6DrsTPyrF9XlCNI4iv1cXKg3eL+/uFIydnShqtK492isnyqusrJjYCkkVP4+ukFV\nV4vIIuCL/TOkkU100inGyVnMyi+fkIkzAz3UEF8PVFWZWDOaqpTQnfFCiu0VdjlO2WLNRkDeXJdC\n5472RYmudE3Ulil++ZtX94fMbiIShP7my0Mxk+DDm1o40d1bgHP+1JqyQ6Tj7tOVMaHNcffMrNhN\nNj7A3b97I6SJVlkajXHq2+w7eiIkiKMh5ivWe9n+hfqiJH0uqklEBbzJzUkqJRO9N5cvmBbSAmvH\nVIc0r4c27iq6W6WjshTKU3ksYXsbXjVhRwkkmW8KCYByIl7yTWbRMiEGk1uyYPo4HpIWTCixmYCi\nUV7R3It8Y8nn5DWvjRaUlOtS6F4tmTshEIaS6q2lBWEt48qFdXT7/VV6MsoHz5vMs388QCbraTjR\n/hx72jupnz4uNKkd7DjBW93ePTQFOD99wcxYYdSXREWDEYpRf1ac5giEwptF4Ob3nEnNqaNCx31o\n465EH46ZxI2ANybVQn1R4j6XVOnBXOvu9k5WvtCcU0qm0L2xw8DX7cjfrdIxcBTKU9mkqgv7uo/D\nI8l8EycAzCSy2zdT5Ft9F7JdR/eJPvjgTeDvmTcx6LNi/CndGY1dpdplSYzJzPZ/RDHb8gmhaBRX\nSshpB1to5W8msp6Mcr8/brv741vdWf7Q1BZcd9a/9qz2OrzbjnfllC2xWwfUjqnm9sc3h86bVUUI\nR3TVjqmuSIFMs7AwQgwI2i0naW9250ZVuHftzpy6cCtuvZgfPvc6v3l1P0q8AH9kUwsPbtxFJquI\nSKgSQdJv8fYr6nlgQzONe4+iMaas6LU2NLUVNNfG3Rv783vaO0mnhR5fSI6K8Uc5BoZC5q9zReTl\nPO8LkOsRdcRSrOkoape27cwm4qWYkNh8Gev33byEHz73elB+XSEUzZWzSu0Or1KvtCbqrowGx1m5\nvpkPnTeFL15yVs5Ku5hM8EvPmcSqV/b7me+5vp98PLKpJdTlEH/cipc5nw1CdTtC0WUmairal+Vh\nf6Kzhc1t7z+brz+6mZ6IomdK25jos0IVmUvBHCfKAxuaefwv3hMbeWYXsIxqC3ZY9ZrXDpJVL5Q4\nSYCba+no7OYHa3YAnjA2gQXR3yuq9Pi+nAUzxsXm25jPmXGXG5IcPfdl5+Vf3Dj6n0JC5W1FHCNT\niYGcDBTruA1FRWWyXHfhLKb7UVFGkOQrJGke1j15tJxFs2t5x8zxwQSeordfSNIq1fZXmFV5tJ9K\nFvj1K/tZve1gqOmU8T/ETXDmPD1Zz4djVpwKPLBhFwumj4ttGBbVwuJi3E0k2C9P2cfhY1Y/FIE0\nhKKmohNzUv5GNEHrHXXexGky5NMpoX76uIolBZrj2JoKwOiqVBBSaxftXLejNScZFKCjs5u/fXRz\ncK9NWLVJekwS4Ea43PXs9iCQICW9v5eo8ASCRcHLLUfYur/XV5MvT8i+hmKJPivvmDm+rOM4Kkch\nn0rTQA3kZKEYx21Q26vbcx7X+5OqbT9PKiQZWrn5TuhMJr6k+ZK5Exg9Kn/1V7NKjXbvu3JhHVf6\n4asPbtyVoyFEBYc9QYsQNAWzS5WAZ247a/LpbD/wJpDb9jduUkqJcPN7zkSAtHgla8Cb+P5k1nju\neLIxZ6V/wexaLpk/OSffxWD7naL5G1curAv1ibn94/Ws29Ga42N54IsXB2a0YjKF8/W3N8d5YEMz\nmSykU/BiyxE2NrXlaH7Gt2T7SzJKoGUE+L8hyC1tE0eSkIw63VENfFb2IgII5QklmdJKYaCy+R3F\nU2yTLscAEhceCwQF/3p6vB4mxJgtQqvGjPJh3xzw4MZd3L++mQcbWgINwp6szKQXV5DQrPzmT60J\nQjZXNe4LHMZX3VrHD597nWde2Y+Zuu0HPBoYoAgrXmgOaVu978HOQ2+S9k1+4AmWO5/ZxuULpsVq\nallVfrBmR9DT5QPnTEKA1VsPsHFnW44Gk07BvCk1ebVFO49HgXor72XR7NxOh1v3dYQ+b0rdL5k7\nIag19rDll4rrvZLU+hkIvqNvLT2ftuNd7GnvZIXv3I7TQq9ZPJP71jfHXht4grLaL/tvtFW7tE2U\nuJpn9vmiEWnGH2UXp7R/m2qZ52xTWqnE/YZL5f71zTy9ZS+XL5hWsIV2uZxMNcucUBmi2OGx0arB\n59eNC3IrVDXU5tZ2divexHrp/MmBJtHVk2XZk43c/vFeQWQmvQcbWkKrTJMQZ0+ED29qyXEYf+dT\n5/PFS85iYs1oDnWcYFLN6FBBQns1aZvR7OQ9pFeIqMIHzu2NyFK85EQ7gxy8VbY1NwUmkHfOHA/A\nM74DGnojyUwJlfvXN/PAhl1BQcm4+x/4XfzXSc2+vK6Z4QncmMuiIbZ2uXu7rlloP8t/VZVOkc1m\nAx9OdZXXRAwIfD5xK/T66eNCgtkgeEmVn148M8j/WfPawbwNugpVKDb3JNo3J2pSNOOPFi01prS+\nTLy24C4lEfL+9c18/VEv6MIEP1RasJxsNcucUBmiRCdi8wBmskr9jHFs3d+RaLayS5ZkssqOg2+G\njv1SyxFuuHtdbBYz9NbfiU5wZluUBzY0s3V/R+JDY68mt+/voKG5nRSaI7Bs89qfXXIWf3bJWaE+\n5NEM8psunsPdv3sjNDnF1dayqyabyQd6zVRxVQGipsGkSK6GprZQfgQQ5K0sml3LqsZ9QG/FAlsz\ns0vEXL5gWqzgtcvkQLhCQpx/zvZRZbNKCpg+/hSmjT+VF3e105PxfCm2matQg66kgINCk2WcqffK\nhXUIntCzv++4+2vOXUjIlBoQYQuvp7fsDb339Ja9FRcqlQrYGC4UCin+vOnqKCJ1wE+ARcArwE2q\nuq3/h3hyYpsUohOu7ViOyxUxJUvMhLrj0LGc45sfd9Qebq+Kxf9PnNPXZvLYU/L2ADHYvpe0Hy5s\nP8DR8vMNTW3MPGNMr1/Iz4KfbGlCH66fmmOusyfL6PEe3LgrNKasxuczRE069sRg19CK5kcALJg+\nlvlTa7h/fXPIj3HF26fxy8Z9QQtmwTP9/O61Q6zf0codn1iQI2Cj30k07DeqUdgFKcFbIOxuf4t9\nR0/0LkwyuZFghzpOhCLd7HuS5LfIJ2yiwuD+9c3c/vgWerJKWuCD504JmdLiMuxtv5Ud9BGllJpg\nUUF408VzAg0FvAjISnOy+X0KaSp/AZhWwf8C/Bz4MLAU+D7wwXJPLCJpYCOwW1WvEJEzgZXAGcAm\n4LOq2iUio4Gf4gmzVuBav7cLIvI14At4EWh/aXq/DHeSTArG7ms/KLZT3qzGobdGlUCsbd0OnTWR\nXgc6TrB66wEIDExh85LhvfMmMuG0al7c1c5H66fy4fqpPO+bUJIemmi4b0a967G1hKhJyb62D547\nhdVbD/CbV/eHalTlC3yIHu/OZ7aFBKSJYLPHm2TiAgLnt+3UXjJ3QignBGDzbk8TrKsdExrPi7va\nQ5rZAxuaeanFK7HSlfGir77zqfOBsIDduq+DBzY0M2XsKXzxkrMAYifNaOl7g/E7pfwq06aCc1z+\nC+RWeE6KWoybLJPaPBuBAt53/+tX9rN664FQ1ns0udTcU1MtIMnXU0pNsKjwqjl1FN/51Pn96lMp\nNupzpFCK+escVf20//ejInJ7H8/9V8CrwFj/9T8B31XVlSLyAzxh8X3//22qeraIXOfvd62InAdc\nB9QD04FnROQcVR3WIc5JD6Vdlj62lIaf7Pfgxl1kgUxGSafgA2+bkuN7ALjp4jk5E1I0PDiJCadV\n89TLe8lklXvX7uTD9VMLZtkf6DiRc5xoEUebaMDB/qNv0eOX3Y9W2y32ntoNsVICcyaezpkTT2Pr\nvo7EMNck53dPxhvDjPGncsfHvdIvW3YfCTS2rp4sOw6EzY5NrcdZ9lRjcFxPgPeG8R7y75Et2ADu\neNJoqR1cOn9yaIz2aj/JUS0Q+GaA4MdgR6zZxFV4jhPecZNlMRn+Bjvr3QSnmMk9Gt6c9Ltct6M1\n+F6z2fiaYPa44wThotleJ86GprZ+q3pcTNTnSKGQUKkTkX/D+11OEpFRqtrtvzeq3JP6prT/Anwb\n+JJ4pVQ/AHzG3+UnwB14QmWp/zfAQ8D3/P2XAitV9QTwhohsBy4E1pY7rv6gVOdjnEkBcqsOQ280\nmDFbmBWvoSfrrQir0kImE46yuvt3b/Dh+qkh4ZT04BqHteGJl/YEvhUTDmo0qiQb++Sa0TnHzVcl\noHZMdSjgYPPuI/gWDhTPlBbX1tgmWpXAaG6Ta0Zz8M0uth94k+0H3mTVK/s9B3Yq7MuIjssWjFkl\nyOEx13rlwjpuuHtdrx8sIsmjpqVJkXsyqWZ0zqLiffMmhVbsD2xoznH8m4TU26+oz3HOp4DrL5qF\nAitf6PWzPbypJRBiNulUcjvlpLYD0UnblMqxc3vSKckxo9pZ73ZJf9PPpzotBVs8146pDlVHqJ82\nNlQTzD5+vkTLk82Z3p8UEir/0/p7I3A60CYiU4En+nDeO4EvAzX+6wlAu18JGaAFmOH/PQPYBV6l\nZBE54u8/A1hnHdP+TAgRuRW4FWDWrP4JGYyjnB9qkv3Vzlt5bX8H3121zcuyTwsfPm8Kq62mUFE0\nq1wwp5YNVnit7UsIbNJ+3oKRSwJ8+LwpXgixnzEPYa1H8ZLqIFJM0HJAtx3vSoxGUuC1/R2xVQIu\n8bPrvfF6OTmG7ozyd49tRtWbnIw/wtyvHzz3Or/94wHUj6CqSnkJlVlg/9ETOQLUrHRTKUGIr15w\nwlrVCwQJmnHOc9PiuNvXGFOp3N7v0XyXuCz8/UffCo2zuioVfFfRBNi24118a+kCvvHY5uA7TKe9\nPKfGPUe8e+Df/wc27IrVHlANKgbniwCLhhY3NLUFgiq4S34SzKLZtSxbuiCIfEv5PhW76kI0Sq7t\neBcrbr244ILMruycEqg5dVSO1rx1X0fBRMuTzZnenxRKfvxJwvZ9wNfLOaGIXAEcUNUGEbnUbI47\nTYH38n0mvFF1ObAcYPHixcVYeEoiSRsp94ca17PD5K1ksspjL+4J9u3JKO+YOZ4v+pFSttMRvJVq\nKiU0WPWubF+CbZMWgY+/Y3rgTE75Nb3ajnfxzCu94bnGNm+0ox+s2cGsCaeFkjaNA/r51w4F/exv\nec+Z/MiP1jITQVbhsRf3BJqCPUl6EVO9EWfRLy7QljLKNx7bjOL5PbL+fem9R1muv3AWzYePB02z\nooh/Xabwoi1IjPkwFJ6cFi8MOiIozMq9oakNo1qlUinu+Hg478QIq6sX1QVlXeJ8C9deMIvGPV5Z\nmLR4kXvGP3Lze84M2j7bppzGPUe434/+6/GFL/79FfxFQ5yzzH/v/vXNoZyaqCP9re4sf/voZsQK\nOb/jiS05/pyeTG/zs89cNCsnEMMm2t+ndkx16F4mmaWSzFkQTrRM0kDzHQdOrvySSlF2SLGIXKGq\nT5Xx0XcDn/C7SJ6C51O5ExgvIlW+tlIHmJmzBZgJtIhIFV6tscPWdoP9mQEjnzZSatRH9Fi2yt92\nvCsnURC8idD84E1TKCMQbn7PmXSc6GHlC83Yz/vsCWO49X1nBTbwoMaXwlMv7+Xm95zpl073Ei9v\nungOKUuDUVVqTxvF4WPdwTGXr3mdf/70O7nv5iWRMOBes0/HiR7S4pkponOaMcsE/UQEnt16IDiG\nyTPJZrNkst779kLbjK07E3OPRKgZXcXe9s6c9y6YU8uiWbXB9d7z+ze4ZvFMdrd3Bv4GM9aUkBMQ\nkTThmIRPc+3GCW9/x1klELh24EE0kTCVSiFZ76KNqVNQak4dFfJDmDGYSgdGuJvxa4wTPw7F0xa+\n8dhmspYmaGfpm9/Lie4sy9e8HhsgkFVvYWH7zfJpHAaxXhcTthxnzrKFoGnIZjTQpOKWcYnAziRW\nOn3JU7kAKFmoqOrXgK8B+JrK/1DVG0TkQeBqvAiwG4HH/Y884b9e67//W1VVEXkCuF9E/gXPUT8P\neKEP11MW+bSRUqM+8h3Lth0bUn5J83zn+/qjm4k+782Hj4ey9FOR7PXHXtwdCLCunqyXC2IdI6vQ\nfrw7dMym1uPccPc6br+iPggDNuY40znyQMeJYNJPVDN9v0lWPXOU4e1+fS3TERLgt1sPkMkoVWkv\ndyWT9e6J0itw0inhXWdNyC1R4vOH5nbmTanpTTT1Ax6q0rkjnHXGGN45czzNh4+zqnFfTil5G7tU\nitIbLRaa7IgvDW+v0E27XyN0RXrvp20utAM4Fs2u5aaL57By467Q95RKCWmJF7zBPmJCyXt/EyYy\n7dL5k4PCofZ31tR6PPZYxhdXTGCFMaGaY5oMe9sRn1TOxRYk5nV0QVeoD4zBTqK0q1uXmv9Sif2G\nK2ULFVX9ZiUHAnwFWCki/wD8Afixv/3HwM98R/xhvIgvVLVRRH6OlzPTA9w2GJFfhbSRUqI+8h0r\n2hXQmGTu+f0bdJzoCcwn0TDaaF4GkOPkTYnvpPYFyb6jvQ5cIT5yB+Cy86awbX8HTa3Hg8nDNkN9\n6NwpgFcFeMH0cdzxZGOvCc03tb24q52d1qSU9dveRme90VWpUA0vU5Ll0xfNDI7dk8321v0CPnTe\nFC6dPzkw/8RhStZHV+E9MSvvptbjwViNmfGUUfGJeiZazJihTG6I+Y7NRGnMftFM9ricE/C+c9MS\noO14Vyh3xvhC7OrThrTAollepYGG5vbE7/RD507hHTPH89zWA7ywsy3Y/oemNl6LJNFCr+CIBnMY\n02VG4+uK2RPr1n0d/DAi9Bv96K+oIz6unIvJgYn2eSk1jDe6qFMo2tJQrFZzMmg/BYWKiLwNL9Jq\nBt7vYw/whKq+2teTq+pqYLX/9w686K3oPm8B1yR8/tt4EWSDRiVj0PMdKynD3qys4+pKvbSrPafQ\no8E+hgDXXjiTXYeP5/hkFs2u5cVd7aHJzYSoTqwZzaXzJweTvdJrhurJKL/54wGyWc/k4G3rdXRn\nFH6xZR93fLw+WG0bv4bJpcj4pi6AjU1tIXOXKckyY/yptB3vymk6lsUTZl65m/C1Tzy9OqhYbErW\nP+g3JQNPIFVV9ZZwh7BPxaar2yt78+q+jqD9sZkojBkqau+3/WNGs1rxgleX7dJzJgXlbuJMSuba\nt+w5wkErekvxKhs82NBbMcAwdexoWo91hYSEuc65k05jx6FjZNW7F8aHNj4yef9xX0es6fAPze3B\nZP7R+qk88dIeVD2T3vvmTQqEm10eCHo7fNr+OZsHN+7iyoV1OY5420wG3iRt58B0WRpFqWG80UWd\nSTIupq5Ysf7TkyEgoFBG/VeA6/FMUsa0VAesEJGVquq6P1K5GPR8arEtcGwnsuJNKG91Z/nG41tQ\n34wTXTnaCPDBt00O1XwSvHDMqFA50ZPl0vmTg6KDAGdNPp3m1mOsWN9MOiUsnDU+Z8JSes1XXT1Z\nDnWcyCmV39WTpXHPkWCS7fE99yYy6OFNLdzv54XELaztJL24MvyCN1GcMqq3bHxK4PCxrqCxmJmM\nuy0N6PwZ46ifMS4IWa4dUx1b6Rg84fVSS29ORbT5WnSRcP/6Zpaved0qhunlFJn7YSbhVMJ3Z67r\n5xt35WhTPVk830sM0X09AQ5vtB5H1dPUPv+u3sTBqnQqJ0jCzneqSnnXnfEj5t4+Yxy/2OyVPDFF\nToGQxvRSyxGu/9E6rllUF3xXSRpTT1ZDml2StrBuR2vOMXbH1C8rhrjvy5S9KVRXrFj/6ckQEFBI\nU/kCUG/lpgDg+zEacS2FK0YxarEtvOZPreEHftc+80zZD1c+l+yotDehTqoZzYGOEzy37WBQ8TbK\n5t1HaNx7NCSkdhx8M9i3J6ts3NmWk2BZc0oVR9/qCV4rXjTb6q0H2N3eGyb72v4Opo8/tdeno/Db\nPx7gi5ecxYLp+fu/2Ul60aZj4NWXsjUDkzwJvib16v6QryiFp4G9uvcom3cfCSWf4pvJUilYMH0c\nZ048jcf9VbnBBBNEs9HNGO3ihfZ9iUPpNUmmUoJmvXBoU+JkVcS8ZUinvc/Y3+W+oydCK+20wJkT\njYbi7ZjVcOJgJpNl8UMIxTAAACAASURBVOza0GJB1RvTB942mck1o1lh5b3Y+wmao1EYunuyXr5P\nvlUP4QiwQi2k7YoGWSXoVFqOaSm6QCxWsyjWYpEkuOxItaQip8OFQkIli+cEb4psn+a/56gQ0Th9\nE4qZ76F43u/aZxO1ccc9u2dNOt3yp9hVg3PJKkHHRHtb6DUwu3YMTYd7fSO2QAGCnJHoaTY0tbFw\nVm0oOc7k0NjXE8eC6eNCK7ykpmMmci6E5F7HrAljOGdKDc/4gtpONO0xJhqFy+qnArkRbG+vGxdU\nf45mxa/b0cqjf9idcCW5mIgrU5rG+KmWLV3A/Kk1rN56IMc8JsC1i2eyZfeRkPYEcNroNEvfOSNY\nRLx+8Fjovqp6lRLsVXTUBGZ2fOfM8aEQ4Jyx+4I12g4AeqP6ovfujDGjOOO0arYf9OrU2d9fEnHd\nQiE++MHevxRtIFobL58WVKzFIp/gympykdPhQiGh8tfAb0TkNfwERGAWcDZeXTBHhTAl67v9H9fz\nfpFBuzaSjfkhGkxJ8/ppY7l47oQg16LteBcdnd1Bfgh47XQNqr2Vf/NpN4UYP2YUzYeTBUCSmUMV\nfrhmB++dN5H/9Evbp0SoHVNNc+uxxOOlxPMrmBIm6bTwgfmTGZWWoA6UcX4vmTshNqM7lQLbFbOz\n9Th7/CoFdmOz+unjcnrPN+45QpXVE70qLSGBYtcts0OBo5hW0fZ77/CFE8Df+WG95h6aqrrXLJ7J\ntv0doX4xChzsOMHksadgl38BzwH/7U+dz13Pbg+EVOh7wMsX+rP3zQ1+O7c/HtaqUhBMrC/uao/9\nXt5hCVYjkG3iFikAh4938+aJHqqrwkmiSRp89B6PqsqNNozWdCvHQW40C1P5eeUL5WtBSSyZOyFY\n3IFnNh7OvpZCyY+/FJFz8BzoM/DmrhZgw3CvsTUkiUzsXRnNCcW0y5jYpd0vnT+Z1VsPsHn3EV7d\n18HVi+pCK7LXDx2LNZmk/NXv01v2JiYG2sRpDiJw8dwJQTl+4yso+rKBNa8d4pPvnM5TL+8lq8od\nTzaSySQrw9VVKc+Z7QvWnozy61f2k055pp2mw8dDZdyXLV0QmqBVYe7E04KVsaE7oyyeM562Y13s\nOHSMFS80x5bo7/IDJs6dWkN3Vpk78TSgt3ClXbcsSVxXV3lJkY/9oSVkPrrYTzZ8zsrTMffJTihN\npyTnyL9+xSu4maLXlPC+eRO587o/AfwJLCWxEztA496j/OwLF/H1RzdjrVkQvGi61VsPsPKF+OZf\n1VWpUJ+eIBk2xhcVRyarXHvhzOB8EF7Fn7CqNDy9ZW/IL3PthTOZ4bfcjgsd7ouD3AhIYz6ttIN9\n0ezeigPZrFJVlV8jGuoUjP5S1SzhciiOfsD8aKPYtvB8pTLW7WgNzDZdPdkcu3Jc7S3wBML8qTXM\nn1oTaApJJEXAqMK9a3dy08VzWLujlZcjphfwHLuF5pZ1O1oT+4iY89sNph72Q2htMllCgsKE2n77\nU+fT3HqMHz6/I4jkeuPQsRxfkAIbIkEHJ7q9gILp40+lcc+RUFKd0fq2H3iTZ17d7+X8WE3OqlJC\nRns1NcEzky2YMY4rF9axdV8HG5vC5zOJmHFJ77ZWkvRdRSfxj1rl3BfNrqV+2tgc81jvtWZoaGrL\n+a4Vz5dm+6UMtp/FZtFsr0PmD33fnzEfJv0MRDyTphHaD29q4aaL54SCBZ63hKoxc5pIrXwTsF2K\nqJzy8/1dvt5UHOhPjWigcE26hghJyY1XWln10dVW2/GuoIbR1n0dOatae0Vl15mys9HVirKx173p\nlHDtBTNpOXycNX5EmEJscUrwJl67YVb0Ot511sTgOEkc7DgRmJ4kJaGIpZR4JpyJNaO5amEdqxr3\n8dtX94cilOJQvPDU+unjuHftztBEXWSCeRDyC56QkLiyz+Sadt599kT++kPnsHVfR7jwo2Um87b3\nHkMo3L/GHlcxRBtPXTx3QqJQeWGn13Ts8++ak/Pe9oPHSKe8Gmzm3AKcOWEMz/m15+wIKaNVf/GS\ns/jiJWcF2lc0UrD3eiQktLt7sjlBItFrf/e8ibG+x6hPa9lTjUF5G7v9dinElU+qZNRWf2tEA4UT\nKkMAU38rOk996NwpibkqccmR9sMXjUQyq8Z1O1rp6OwOVsN2//CQtUmVqxbWcecz4T5scyacBqo5\nZiOzco6b6FTJCVWOI6uwYGoN9TPGsX1/R2jyyarfHli9EOA8ljFSECqMmckqD2xoDhWELBUzz3dn\nvOKcDU1tBYVS/bSxgVPWrEIVWNW4jzuf2cYpo9KxBTZt3jdvIi/vPsKR491B4MUFc2oTJ+Y4TOMp\nuytkPrp6sqyN8YeAl5xq/86UsGZoBzeYXBTTCfO295/N7vbOxLGbfBXzG0+lhL3tnaTzaLnmHttE\nNforrcz4fJFpSSSVT+qPRMaR0NDLCZUhQNTpDt6DZRoyGQolR44eZSoZe2Gnl86fHFRpNf6APe2d\nQcn2dGTVZjuz1R/XhNPCEUCvH3gzr/M8bqK1y8DkQ4GXW46wZc/R2P17HdbJx7hgTi2Xzp8c7p6Y\nEl7Ze7RPgQj2GDftamfR7MITe+Peo6HXcT1rUuTPJzImSWNOq67Kl8GSy4VzenuF2D1lCjF57ClU\npY7kTOaaZ7wAkhJ2t3fyiHWtPVmvqGVz67HYcvv2sRdMH8dVC+uC8HAjsM6dWhMKMDGs3dGaU2wy\nqtGbAqrlTtT2tdhC885ntuVsT8qiL1abqWQy9WDhhMoQwK4TBd4q+2MLpoZqGRmSwhbtfIysKqu3\nHWT11gOhWlvRySCb9VZt5kdvF5Ks9qOcnno53MM734Qy84wxQRkTAc6adBpzJ51Ou3+OYsxN+XwF\nxdDQ1Man/qQuVBV3T3tnYL4qFpOTEifAejIaZOTno37a2GDCS+pZk4VYE54pxWOEvOAlZV57wSz+\n7TfFd/E+e4rXXaJQz5wo75/v+UiiXUNTpjZbwud6MsqK9c2MSktoMZFVEuuvBcfG07gXza6lszsc\nBzSxZjTfuXgO3121lYNv9t77zS1HeLnlCKPSEkRKRlf7Vy6sC9oKlDpRm1JH5r6l095zYTQU49dJ\nCjcuR5upVDL1YOGEygBRKFve7iqo6oV3mpVpMT/EhqY2nt6yN+TohrCZIkoWL/nw//vta7zVnSUl\n8Il3TGfelJpgIszGeYsTsGt4KfBG6zF2th4LRxHFuyPKRoDp408JEiqzCt94fAtAEMSwqnFfSdFo\nguc4vdL33Sx/fkfO58+cdDrNh4/TldFYgX3u1BruXbsz1AvdDhu1iW4S4NxpNbyy1wr9Bl7ZezS2\nxHyUtFXWZOzoKv720c0c6DgRNDkrhCmHElQ7tgpgmuPmO47iCZdptaeyu62z8Al9RHpre12+YFpO\n7/j5U2t427SxHLS2m5+WHSmZtNovZ6K2A2gEL+HWrrlmKjC8uvdorHP9ZCjLEsUJlX7EDv/N1zcb\nPIf8Axt2hZy0xfwQTXOkh3wnfBB1lPZqV+WrSAvhLo5Z7c1VsMOWoy1nJ51ezcTTR7N1f0feyTpu\nlV+qQBG8Uv07EyrhpoRQhr53Xg00tqp0ip4iQ1oNF8ypDRXonDXhNL7h1+oCSKe8Lo0fO38aj7+4\nJ/b+bjvwZuAj6PKDGJIc8KbycNBaAK/WVpSeAt+lYdLpozn45gkyEe0gLnovLipP/Dwh8JzS63e0\nhvwmpgxQSnon6obm9uB6BW+yL0WggHf9dzyxJYhGvOy8Kew/+hbXXuBpnWbFD77fLGJWta+v2NV+\nIdOUneRpzHPzp9aENKH6GeOCNtLR53Uk+EhKxQmVPpDvBxktvWA3n0oq371s6QL+7tHNweorJblJ\nXHHnsO3kKXprV40dXZV3MoPeCcLeY/nz3kRkhy2vatzHi37E0ME3uzj4ZlfBInvl8t55E6mfNpbG\nvUe5fME0mluPxZpOhHgfjt0WOC5HYurY0aFKzOAJki4/2mijf1/Nte9p70S1d7WKeqVA8k3wdlKp\nSH6fkvkOottyrjei5aVTcM7kGrYffDNUOHRfgt8ibgRx8jaT7e2qCZ5PLO5YWYXxY6pZ89rBoDjm\n0ndMp/VYV6ifThwXzqll9Kh0Tm5Ut69xmHpb1VWpwIxp96B597yJXL5gGrc/sYUev/2BHSlpk/Sc\nFmOasgNgbPNctOfNI5HCoYaR4CMpFSdUyqTQDzLcN6N3gim0WrGf8Q9ZLVfjHoyonVzwquua2lX5\nbN9Ynzl70mm8FlmJgjchm/4lL8aEoJZrxcpnAqv2qwIY387aHa2xZeiNqc7ugnnhnFrmTamh3s91\n6O7JhvqCGKICBbxih1cvqgtWnHZrgKqUBKHOcceLIyW9XSQ7OrsL+hOKuZfR02ayxDqvK4F9rsRq\nCBCqPZdVePKlPXzrk+ezdkdrYoIlwIstR7jj4/Ws39EaMuelU/CC1UPFLMKiGoMxh6XEa76Vkvgl\nTr7ntBjTlAmAiQqMqCaUT3DY+46kwpFJOKFSJoV+kOU0CTIlOAyd3ZlAoFy3fC3dGa8n/coYh2Ta\n70iowMqE4pBxKIQEiu00zqqX45FUPr9UUgJvm1pDXe0YJtaMZuzoKn62roljXb1O2dMj2lXSxFSV\nEo53hZ2586bU8O1PnR+8fmBDM0c6uxNNZzaZTDYo6W/aC5gx9GSU6y6aiQAPFAjHBT+cOavc/bs3\nWLZ0QXDtfYg/KBmTAf9+v9LC868dpLNASHU5Y8wRdAqrtx4INViLo6snywMbmvnY+dNYs82rYXfa\nKVXsaesMmdoUzwS1euuB0Ocb9xwJWh4ovf1qos9Wvue0WNPUlQtzWz5HKcbcdjL0UgEnVMqmmOZc\npaq9UefkqaPSNDS18U9PvxpM7N0Z5YfPvc7yzy0GchOyTC5C1A8SpSqmFhaEJwkhvllVuWQVXtnb\nwSt7O0gL3PLeuRyPRPkcjnSUTKIro2xsOhzapvTmYkRbKOfD5PTUTx9n5XBYvi08W/qWPUeCMvV5\nUYJQ2m88tplvffJ8zySX8NlPvnM6W/d1VFTrUOC5rQcQvAKOhRYGAlx34SzWbD1AS8RHVeg848eM\nCnWYfLmlvSjh9FJLuPBle2fud59VuP2JLTlCygiblB99ENfoDPJn0hd6RuPyXcrBaCd72jtjBdxI\n016cUCmTYoRGIbU3um3+1BounFPL9oNvcqSzm2de3c/qbQdz/AL7j76VmJBlxvWXKzblOLBtZow/\nNVRVOI50WgLBEu0J31cy6vtu+nDMw8d6J6GqtLBg+jhuuHtdQYFqU5WCay/wIr1++Fxvr3U7yCAl\n3sr4oYaWkoebUa87Zz5hZJvwKkmXXw+tGNJ+Sf8HSgy9htzW0vsj5sV0ChbOqs0pf1Ms0YVN2irn\nYnw5GfVaCzzY0MKKW3oz+gtl0ufTMOy8omJaIscRLXxpzKhxBTOr0ikuOWcSk2tG59WKhjpOqPSB\nUiJMomovkFPHKy5ctLsnd4IcXZUK/eDjencfjHHWVqeFsWNG0XasKyRQgjbFEV/HvEmnBx3/KhkG\nbDAhmZU4dgrP7FKKQAFvslPgn55+NTGZMeUXbox2l0xieiSUdvuB3Da8fUHw2hgXMmeVwrUXzKLt\neFefEkTH+j10osdYOKuWr15+Lld9/z/LOm70d/nxd0wPwnpNwIAJpLA7TEb9mqVk0jc0tYUWEQqB\nFluozpjNw5Ek0Ov8wpdmIXnXs9tDLS9M0VdbOA43SkvPdZRF1K77yKaWIBs3q55QWL7m9RwThZeA\nl+uAfGFnGytf6I0+ygIv7WqnoaktqJIbZ+7oyiitHV05ob6LZ9fyPz8yny++dy5p63SvxrSQLcSk\n02N6cOShUtpPd0YTG1dFsW/pCzvbuH99c97s+ImnVbNg+jgvTDtynOi3Myot3Hbp2SVnvpdKJQWK\niCeQV289EHR8TPB75yXaQ8ewYWcbW/d1MPuMMSUfM50SLohMrE+9vDcId09L+PsEz6x2w93r6Ojs\nDvkHO2LMa0ms29Gas4jo9hM7b7h7HQ1NhbWuaOJkVj0N67b3n53j14nebjtzf7jhhMoAYH44afEy\nbx/cuIvfbz8Uiulvaj0emsCr0sIFc2o5c8KY0ERviE7Gv35lP9cuX8v1y9cGx44jbntDUxu1Y6q5\nd+3Oov0QcQgEZrj+5NypNTkTiZJ7bUkCrlRBtv/oCZY91cgl50wKPfwigog38ZkHSVWZP7WGFbcs\n4TMXzapI2HVcxeBKourl+mzY2UZXT5bp405hyukJVa3LPMcDG5rZ1VY4YCLKu8+akDOBm74yt19R\nz5cum88tkcUQhItRGu7+3RuhYzU0tXHXs9tjBYR5Zs33ao5jR6QV4uFNLaHFnUBQwcKc15irP3PR\nLOx1yHDOaRlw85eIzAR+CkzFm0+Xq+q/isgZwAPAHPj/2zv76LjqMo9/nplJ0qZJ3whpU2haWqBA\ng6INFEWlCLqAYPUI8qYrHgV0V89x190jyyrLYXc9nN11V/Yc9mBRjrgHAbEVimtFEBBQCm0DpQ2l\nWNI2DX1Nm7Zp0yaZmWf/uC+585a5k04yM+3zOSenkzs3M89M773PfX7Py5ctwOdVtUdEBLgXuBLo\nA25W1Tb3tb4EfNd96X9R1YfG8rOEJZh/eW//Eb86KyLQPLWWzn19/oXu9JMnsHDOSdTXxFLKUMfF\nIhzN08QXTzuAw158ksoxD1zEfb8HXt58TK+Rj3Oa6vnU+2ZQt3F33jX64DiPY8FbU2+sr6EqKgwm\n1F22U38Evkc86VxMvu9Wof12/Y6U3M9IqK2OplTIpXN6Yx0tMyamNLIeC8Ml6qtiEZKqBRdwdB/q\nH5Ft2SZbK46uzKot+7jzqvnc++w7/s2Qd/GvikW4oqWJV94d6ohPJJX7//Au582c7A9VTSSVmqrM\nSqzgOeuJsnkz88Jc8L3lsyBVUUkZ8RLsA/NGySxt68pbaVbuiI7GYvlwbyjSBDSpapuI1ANrgM8A\nNwP7VPUeEbkdmKKq3xGRK4Fv4jiVhcC9qrrQdUKrgVbcwh9ggaoOe6VpbW3V1atXj9bHy8uarT3c\n4JYHC9A6ewpt2/YPKQhG4LHbPswPn30n1GTfdApxJsG/KXYi/njkM+fN4P/W7chbSXV6Yx1zGiak\nzF4LUuzy4ljEHbsf8jU9nXsgRYY3799FhIvmnsRLIcTcRoOoQMspk3iz64Af5U/L0sgK8LWPzeET\n86dnzZWlnyMR4Nt/Mc+XkchFIVVa9z2/iR/8bqPfrOlJTa/s2Otvjwj+6J5KKDEWkTWq2ppvvzGP\nVFR1B7DDfdwrIhtwVCUXA4vc3R4CXgC+427/mTreb6WITHYd0yLgGVXdByAizwCXA4+M2YcZIRr4\neW1LqiBSPAn3rNjgj8nIRyziLMPEE87RO5J7hDCJ+JE4q+ONp9t3herZ2bT7UEZyvrY6yrhYhNrq\naEElu2EocAoNUydUc3J9DfU1hZ3+iaTm1cQZTW756ByaT5rA2i5H5ljJ3sgKzvTin/xxc9b/rwwn\nH5FQS02FDHrM6FMLKGJ62yXHpI1KLzEuafWXiMwGPgC8CkxzHQ6qukNEGt3dTgGCHWdd7rZc27O9\nz63ArQDNzc3ZdhkzVnbszTjQ0w/yfMs6ghNKX9s601cP/N4T644pHzIc46oinDWtPmtX/YlE+uRc\nD6dpUqivieXss+kbSNA3kMj6fFD6dyzYc2ggY/rwWDPcFOhcdHQfpn58Vah9a2KRnDcAwRskT+sF\n4I5frUtZejqWi/twQy2Dy2re5IdsJcbDRS/l7HhK5lREpA5YCnxLVQ9K7nKTbE/oMNszN6ouAZaA\ns/xVuLXFI1sEUsjyU8RdurhkXqNfIrl++4FRcygAF8yeWtI71HLn/NlTWNPZE7pxM4MyDgMjAk2T\nx7O950hRTfRO4EKWAju6D7NoXmPW506ZPI6dB/v9vpVsL+k13Pb2x/3mWE/t9IYlr/jl/I+v6eKu\nq+enDIENTsQAfKcw3JSM4WQqvO3eXLNsJca5RseUe2d+SZyKiFThOJSHVXWZu3mXiDS5UUoT4M1l\n6AJmBv78VGC7u31R2vYXRtPusASnE3viWN7Bl61WPhIRbnG1THKpJ3okFZ59a5cv3xoR4YzGutH7\nMGRPlhpDrHvvQEF33EHOnl7Pu92Hsw6+LAeSmjltuLbKKRo51rxQoR95855DPPjH7IUgDXU1bA/I\nH7R17k+ZwHz+bKdXZsGsKdzxq6GoPp50ilSCUc1gPMmK9Tv8i3v/YOocOESIJ4aGW2ZL9Icl3fGE\nGR1T7uP0S1H9JcBPgA2q+p+Bp5YDXwLucf99MrD9GyLyKE6i/oDreJ4Gvi8i3rf5SeAfxuIzDEfw\nLiJ40nnaKHdeNT9jREoiqbTvOMjdi1to336A3b39bO4+nLNpThmavptUzTom3Rg7jqVnZMPOXr/X\nolIKJfqK2CMDqeW6w5HQ7I2kEYEPzTmJ9u0Hh5RLVbn07Gk89/Zu4knl9c79bNzZy4JZUzKWOKZN\nHEdV9KAfqVTFIsxvmugXyniNi4BbeDFkaXo+xGOky1NhJnWU+zj9UkQqFwFfBNaJyBvutjtwnMkv\nROQrQCdwrfvcb3AqvzbhlBR/GUBV94nIPwOr3P3u9pL2pcA7iN4LzPcJ4t1V9PQNZIy4B0fDfWXH\nXlSVRLKwfoAKuRZVPAJMmVAdSvWxEEZj6bKuOsqhYcqQR5tcs+Ug+2rfsXwFSYWfvrIlQ7m0ob7G\nn7AcdzV25k2vd7SLVm/zR+bfdvFcbrt4bko5b3ofSsydMo6k5oG8uXHBC/uxLk/lKwgo93H6paj+\nepnc18xLs+yvwF/neK0HgQeLZ93ISJ/f451QQa2SoDbKgllTeGHj7oy5TMEQPP0kq4lF6C/TJZIT\niWI7FI9ip1VK6VCArA5l0vgYh/sTxyQXnYuBQafZ8ar3NbGyYy8zp9bSMmMS0YBziyeVu59q57rz\nmzNG5qdfyDemRf9f/chpHOyP89iqbQT/pz5yRgPfuuzMnLIXo1XVVc6Swzb7qwgED6JEIsn1FzQz\nY/L4rDkV7+BKH+WdD3MopWc0I8ITIdo8uX4cvUcPZXxWEScSKERiIRaBj581jRc27iaeUJKQ0te1\n82A/bVt7uPr9M3hy7Xa/ZH5t1wHWdQ2tEngj8zfu7GXF+h1c0dLEjQubeT7t/DzYH+eUyeMJ9vVF\nBb512ZmA05find/py1NTaqu541fr+OWaLuKJ8kyuFxNzKkUg/SDK1w2brnt9IlxQjBMbwVmSyxak\nJDW3bk4ukkl4/8zJ3HbxXO5+qj1lhL5HQh3RsPQerODtWTQi/HlXrz8p+qU/d9O59zDPvZ3qVATn\nPI9FxM+9RCLCxp29WavEvH+9suGgOutAGSbXi4k5lSKQTV70lp+tZnP3YU5rmOCX/wYjF+/OLBqB\nieOrMkZ5NNRV051lzMjU2irmNtaNeIy4YZQChaL2OSWBX6/dzhvb9rN+e+7XHc5XCbBoXiPL16ZK\nD/y2fWeKfks0Iv6N4rWtM/m5KyWdSChLXnw3ZcqwVyXmOZgV63dkTM5OavbWguMFcypFwlvjXLO1\nh+t+9Ce/lHHT7kMp03MjbqjvddTHk2SdDZXNoYAzpuJojiY8wzgeyVUZtyGPsJl3riWSjojXonmN\njnjZO3t8TZOG+pqM126eWpuiFnrLR07zo4r5gTxNEvz9vJErXkuA52Cy5Y88rfvjFXMqRcZZ2sr9\nfFLJ0EwphFLNXTKMUlFoXt9zQp4jaaivoWXGJD+v+bWL56asKqQrpb68qTulwMbr4vdEv9KLEAS4\n6PQGrmhp8jvkgyNYMuyLiEUqRia5KjmcddfCG7vCYg7FMHITLCv1NHaqYhF+uXob8aQSi0a4ZsGp\nKUJbN39odspEcM9neL1lwS76bJO8oxHhipamvLkU8CZnKHf/up150+uPy7yKOZURMFwd+oJZU7h7\n8bk8+HIHRwcTjKuKsmnP4RJbbBgnBt74Fy/S8JaiJPD45692sqyty1dgzSXXcO4pk1IGQU6prc64\nqYuKU24cTNZ714N50+tZ2tbF425PTMTtdSnXTvhiYU5lBKTXoS9t60oJp4MH2OXzpxfFqYwvsnys\nYRyvqMLZTfW8tWMo35LuDDwJbiBn30zjxHH+PgtmTcmaB7n+gmbqx1dl7Uvxfj7nNlMGB0hGoxHe\n23/EF+o6njCnMgKCJcTRiKTUn3/0jJP9kLd/MOmXKno01FfT3Vt4ks4cimGEQ3GGTw6LOPLCB/vj\nvvBaOr/fsItn39rlz/byzntvRFJ11KkKA4Ydm5I+QHKZG708+tpQxHQ8ORZzKiMgWEK8ff8RHnGV\nHAfiSX6/YUj0KNv9z94iqREahpGb9DLedJKKn0epjgqfPGcaHXsOpawqeAHMwGCSZW1dzJg8nruu\nnk/7dkckLJiXefirF7KsrStUzrNzX58v3nY8LoOZUxkhwRLipW1dDMaT4FZ8DMcYC20axglNXU2U\n/nhy2G79eEL9RsrgCHwfwb9xrI5FeOSWocgiOJF8aVsXA/FkzugjmItVnNLichwIeaxESm1AJbFm\naw/3Pb+JNVuHGg+9qOX6C5p9bQbDMMqD00+uC6VwuX3/EZ5p30nduEwRsKBUs+c0wJUGf2Al//H0\nRr735PqMvEo6wVysAOeeOsl3PtmuLZWKRSohyVfxtbJjb8WMLjeME4UwXfwKfpd8GLz9lrmRCeA3\nWEbRnNHHlNpqRBzNbwU27DgIlL/oVqGYUwlJtsmj3vYL55zkJ/HyreUahlFeFHIvGBUnl7Jmaw/r\n30t1WB8/q5HzZk7OOoXYa5wMLo8nkurnZb3inuMhx2JOJSTeMDlnXpfTEZt+d3HnVfP57hPrLGIx\njDJkJPIR6QJil549DcA/9719ohForK9JcSjBBmnvpjT4ut4E43uffcd//Wh0+BxLOWvTe5hTKQQR\nFCWh8MTrXf7dl/Lz/QAACshJREFUxcBgkh8++w4zp9aaQzGMMmUk8hHnz57CG9v2+8n75zfupqG+\nxl+1iIjTJLlhZy+PvNbJ42u6uGbBqbTMmJQxvTgWdcqOY1Hh2taZtMyYxIr1O/wiAgGuWZB7wnml\nLJOZUwnJyo69xBND66evBaYEe1oOUohco2EYZc/k2moWzWv0BfUGE0p3b39KX8q0ieN4s+uA37H/\nyKudRCNCMtA93779gF/6KZDidLxKsOqqCJ9z+16yRSTlrk3vYU4lJBfOOclPsuXCyoUNo7KpiQn9\n8aET+Zm3djGtviZln/19Azz81QtZ2tZFd28/z729KyUvo0Ay6YxlETdx7+ncK85N6Yr1O1KinYtO\nH1KQ9KrKPKfllTCXuza9hzmVkCyYNYWPn9WYMsbeMIzji6BDAcdB7OztT9m2aksPz7TvZFlbV8rA\nSMFxEKrO4MgzGuuojkW47vxmv5PecwhXtDTx6uZ9/lSO8VVRlrqlysGqMq+E2euLy6dNXw45F3Mq\nBTC3YQLPlNoIwzBKigJLXupAlRSHIsDUCY64XlLxtV7at6/juvOb/QnGfoThLm0MJtRfXnvstc4M\nZ7D+vQP+jLDhtOmDOZeICHcvbuHGhc1F/vT5qfjmRxG5XEQ2isgmEbl9tN5nzdYefpxjmqlhGCcW\nSSVzyQvYc2ggo0Q5noSHX+3kruXr/QjCkxRP3zehTiQUCeRn13Yd4IYlr+RtjAzmXOJJ5c4n1/t/\nM5bNlRUdqYhIFLgP+ATQBawSkeWq+lax32tZW1eGOI9hGEZYBhLKPSs2MBBPUhOLOIU9WS4pSmZ+\ndiCh3P+Hd3P2wYCT942IUyAATl7H66cby6qxSo9ULgA2qWqHqg4AjwKLi/0ma7b28OhrncV+WcMw\nTjBWbelhbdcBXtvSQ6LACufn3t7ND363kZt+vDJrxOFoObUQi4hfTRbskRluhEwxqehIBTgF2Bb4\nvQtYmL6TiNwK3ArQ3Fz4GuPKjr0cgwKwYRjHETkCjAxuWtjM/BmTuOupdnfgbGEVot77CIQW+Lpx\noVMUkJ6sH8uqsUp3Ktk6QzL+21R1CbAEoLW1tWD3kE0iOOyBZRjG8UM0Atef30x9TYwHXurIebP5\nmfNm8K+fPRfAv8j3HhlMkS2GoYqxSERIJpWoK3fcMmOSL0sclCcO4xjSk/lhqsaKSaU7lS5gZuD3\nU4HtOfYdMQtmTeGx2z7M/X94l90Hj/olgt6B0r7jIAKs3trDkcEEEYFTJ9fSe3SQfX2DKa8VwUno\nZXNKddVRjgwmMg7U6qg4ST23pl1kyMGNi0U4mtYpLHha2MX7DpxRFGJ5peOAWAQSyczjL30kSbFp\nmlhDT98g/a68b/rqT1AGGBy1U4BYNMKchgl07usjoUp9TYz6cVV0H+rn8ECcCdUxJtTE2Hu4n4nj\nq7n63CY6ug/T0X2YqbVVTHZlgL3P19M3wI79RzgaTzK5tpqWGRPZ3H2YgXiSg/1xxldFueysRg72\nx+nu7Wd/3wD7+gaZ0zCB2y6e61+UPzF/Okvbuti0q5f+eJJJ46vo3NfH5fOnc/uVZ/ufK3iRbz5p\nAo+t6mTaxHEsmteYUg2W76KfLQIJy3BVY8VGtII79kQkBrwDXAq8B6wCblTV9lx/09raqqtXrx4j\nCw3DMI4PRGSNqrbm26+iIxVVjYvIN4CngSjw4HAOxTAMwxhdKtqpAKjqb4DflNoOwzAMo/JLig3D\nMIwywpyKYRiGUTTMqRiGYRhFw5yKYRiGUTQquqR4JIjIHmDrCP60AegusjljRSXbDpVtfyXbDpVt\nfyXbDuVn/yxVPTnfTiecUxkpIrI6TI12OVLJtkNl21/JtkNl21/JtkPl2m/LX4ZhGEbRMKdiGIZh\nFA1zKuFZUmoDjoFKth0q2/5Kth0q2/5Kth0q1H7LqRiGYRhFwyIVwzAMo2iYUzEMwzCKhjmVACJy\nuYhsFJFNInJ7ludrROQx9/lXRWT22FuZmxD2/62IvCUib4rI70VkVinszEY+2wP7XSMiKiJlVWoZ\nxn4R+bz7/beLyM/H2sbhCHHsNIvI8yLyunv8XFkKO7MhIg+KyG4RWZ/jeRGR/3Y/25si8sGxtjEX\nIWy/ybX5TRH5k4i8f6xtLBhVtR8nrxQF3gXmANXAWuCctH3+CrjffXw98Fip7S7Q/kuAWvfx18vF\n/jC2u/vVAy8CK4HWUttd4Hd/BvA6MMX9vbHUdhdo/xLg6+7jc4AtpbY7YNvHgA8C63M8fyWwAken\n60Lg1VLbXIDtHw4cM1eUk+25fixSGeICYJOqdqjqAPAosDhtn8XAQ+7jXwKXikg2SeNSkNd+VX1e\nVfvcX1fiKGWWA2G+e4B/Bv4NODqWxoUgjP23APepag+Aqu4eYxuHI4z9Ckx0H09iFBRWR4qqvgjs\nG2aXxcDP1GElMFlEmsbGuuHJZ7uq/sk7ZiivczYn5lSGOAXYFvi9y92WdR9VjQMHgNxi0WNLGPuD\nfAXn7q0cyGu7iHwAmKmqvx5Lw0IS5rs/EzhTRP4oIitF5PIxsy4/Yey/C/iCiHTh6Bd9c2xMKwqF\nnhvlSjmdszmpeJGuIpIt4sgl4z3cPqUitG0i8gWgFbh4VC0Kz7C2i0gE+C/g5rEyqEDCfPcxnCWw\nRTh3my+JSIuq7h9l28IQxv4bgJ+q6g9E5EPA/7r2p0vNlyPlfN6GQkQuwXEqHym1LfmwSGWILmBm\n4PdTyQzx/X1EJIazDDBc2D2WhLEfEbkM+Efg06raP0a25SOf7fVAC/CCiGzBWRdfXkbJ+rDHzpOq\nOqiqm4GNOE6mHAhj/1eAXwCo6ivAOJyBh5VAqHOjXBGR9wE/Bhar6t5S25MPcypDrALOEJHTRKQa\nJxG/PG2f5cCX3MfXAM+pm0ErA/La7y4h/QjHoZTTmv6wtqvqAVVtUNXZqjobZ23506q6ujTmZhDm\n2HkCp1ACEWnAWQ7rGFMrcxPG/k7gUgARORvHqewZUytHznLgL90qsAuBA6q6o9RGhUFEmoFlwBdV\n9Z1S2xMGW/5yUdW4iHwDeBqnGuZBVW0XkbuB1aq6HPgJTti/CSdCub50FqcS0v5/B+qAx936gk5V\n/XTJjHYJaXvZEtL+p4FPishbQAL4+3K56wxp/7eBB0Tkb3CWjm4ulxsqEXkEZ1mxwc35/BNQBaCq\n9+PkgK4ENgF9wJdLY2kmIWy/Eydv+z/uORvXMp9cbGNaDMMwjKJhy1+GYRhG0TCnYhiGYRQNcyqG\nYRhG0TCnYhiGYRQNcyqGYRhG0TCnYhhjiIgcKrUNhjGamFMxDMMwioY5FcMoASJS52ratInIOhFZ\nHHjueyLytog8IyKPiMjfldJWwygE66g3jNJwFPisqh50x7asFJHlwALgc8AHcM7PNmBN6cw0jMIw\np2IYpUGA74vIx4Akzij2aThTaJ9U1SMAIvJU6Uw0jMIxp2IYpeEm4GRggaoOutOXx5F9TLthVAyW\nUzGM0jAJ2O06lEuAWe72l4GrRWSciNQBnyqZhYYxAixSMYzS8DDwlIisBt4A3gZQ1VVubmUtsBVY\njaMwahgVgU0pNowyQ0TqVPWQiNQCLwK3qmpbqe0yjDBYpGIY5ccSETkHJ8fykDkUo5KwSMUwDMMo\nGpaoNwzDMIqGORXDMAyjaJhTMQzDMIqGORXDMAyjaJhTMQzDMIrG/wPUtcpm/GTUxQAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacda1cef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Defines an object of type experimental variogram. This action precomputes the \n",
    "# variogram cloud to accelerate experimental variogram computation.\n",
    "\n",
    "expvario = geo.ExperimentalVariogram( x, v, plot_variogram_cloud=True )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hkbLv167sw5aRWuTUp2tzy679YQZV3uKhur8ufLZsuHn10lAxAeLn07qV8igg\n/l3E3cOWYjrUvwjdVRJaSHTzX9endlLqW4UDJ85g+2gNAKRrL+l45eWSKkuhRIdZOIVkDqEsvuY4\nZN30ZfyFtAXBBpf1YvOt5tEkdS4y5KOXvQMAtBE07aIkyqCaT02J7Ljfy5RN04rAWTKEDi7rxeb1\nVxpzSFR9auf3VQQxVHSL3X5t+rXHw7ZFsEyFEh1m4RSSOYYy+JrjkHXTFxWaR8YOaRWctNYTWb+7\nKrOn8Cf3HMFTe45os8omURKzCJS8Uu/LxoYf/+m6h807ZzODypRNMTmX6j4sIV1awWb6HnXjbPK+\ninA3Jm2jCFeTzC0Wt/bSIusYO0tXOeEUEodEKGKzzWrJERWaq1csxnP7jksVHJsb9eCyXly/agk2\n7ZwEBVBvzNaaicsPEddmln6OTEzhpm8MY6bu+UnlADQafmI5ntgZF4WSNFcL49Lwz59E2eR/SwhB\nw0seoZEUJuOse19FCP6iQsWTQuYW0609GUzmmI0xbmdLVyfDKSRzCFmViSIJfVksOTKFZvmFC6TP\nbmOj5sd17cq+MJKgGtTdaVjIKpulnyzhGYDICZZVLWauFF0UShL3CRt/VjuFf/4kyib/2975Pdj4\n8O7cBUjW+VCE4LcRKt47vydRMj4TqNxiqrUnWu3YfImrU2VjjNvFfT3X4BSSOQIbykQ7mTlFhUal\n4GQ9KcVxIgA77pG0/RyZmMLYgZPKvzP1JC4KJan7hI03H/bJR10k4fCw36oEm01kJdnaOHnn0YZM\nuZuue6gQgo1rVkTIyiZ90LVjYlGSFcycadBwPur2F1vWjXZwX881OIVkjsCGMtGJZs7BZX7BPBbO\nakNJEzkRNja9NCc6ftNnqBC/SJ3nAd1VEqadj4tCSes+sbnpFyFAdONs6s7JcvLOsw02fny4tkcp\nNjw4FsmaWhTfRFYwE/BD63X7i7NudC6cQjJHYEOZ6MSNYGRiKjwtPrfveKJ01oB6XG1ybVRVeuPA\nb/oEviJCKfwqtquXRHgiKnM7QyvcJ62CSvExVepNOUFZXIhZlLOh/kWoEAIvyHvjCeHmti2hsmfl\n1w3v2qxWK7husC+2PISzbnQmnEIyR2CiTJgI0XbfCJKkdTeBbFxtnjBN7xW36fNWDVkVW/YspkKg\nCPdJ2WDLQqh7p0VYIQeX9WLjmhW+282j6OlWW8NM+2BaQoA9q7huAHuRX1lQxiy8cwlOIZlD0Amc\ndshAmQcp15blSDzlsgiT6ZlsJ0wThclk07dt1UijmBa12efVji0Loe6dFmWFvHn1UqVSmbQPSUoI\niM9q27WZBe2wB3Y6nELiAKAVD8qNAAAgAElEQVT8hNW4irmmictkfA9Vcq+0QqF3fk/oD/eCz2lh\nojCZbvqmVo2kWW5NkEf23bza0SFOETPpY9w7LcoKqWsnSR9086+deGdl3wPnApxC4gCg/BtHJMpj\nxsMdj7+ML33yMgAIc2yIeTVEqJ5R3HyzCrWp09OoEMCjPol06vR06uc2Oa3q3l3StN02s9zyyLrZ\nm76TtO0UqXR1GhdLN//a6VnLvgfOBTiFxAFA+TcOtllMz3jwAPxk71E8t+84/tN73hFGkfB5NWQw\nfcYswnNkYgoHTpxBV7WCRiNeQTCBCbdDFilkI4GWrUybWTd703eSlv9gw6qi6qPsnRdlBSlDIsM8\nnjWP5yr7HjgX4BQShxBlJqyyzeKOx1/GT/YeDTf9w2++FfldXL1ck2dMItTE5E5hboUKwY1XLI1E\nq6QVfHGbrypSKImAVD170kybKmTd7E3eCXsuXdI22bPbsqrI+mjyzvNSGtolkWFSqJ7LxjiWeQ+c\nC3AKiUPbYHBZL770ycsiAvKGy5fipUNjmGnQSF6NrO2YCE9xY1y3si8UbLJIljSCz0SoqO6bRkDK\nnp1xT3rn92B4/Fj4uzTjqhtL3XjHvRNTwS/+BoDWoqWC6l5ihWM+54eqjlJeSkOnciJkzwXAEVI7\nAE4hcWgr6ASmbfNtUvcGBbSn+DTuBBOhouPGiGMVJyBlz87+P68NPwn3IoubTfzN9tEatgVp9WUW\nLR1092LKKRD/zvNUGrK6ycoaAit7rk5VvuYanELi0HaQCcxWbD7ixrhupZ/QSedLT+q2MBEquvuK\nY5NWSOW54du4t8lzib+hgNailaQ9/l78M6j4PUn6nRbivABgXL8mb1dTlmtV890RUtsfhNI4r7tD\nGqxatYru2rWr1d1wyBl5niLZvXvn9yg5EWn6mKbPrPgec41tXn+lFf4L+83nvjkbKWVifZHdN65a\nsXgdgMTtJr1XURwSE55REgvXnU/sxV8/usePFAPwofecH0a18XltWC0ak+yqaftiirTjWFZLULuC\nEDJCKV2V5lpnIXFoQtkWaB55MWwhL+tM3KZtOga6pGmJQQgAGvyb7hmA5oycSS1HurFhlY3ve26/\ntGic+OxZiLY8KXaof5H0XibWnzTvQ0WmTsozUkEW1bbzteMApah7NEw9z4otbt45ie2jtVSRXLas\nbWnH0XFPygOnkDiEYCfMrSM11BvlWKBZ8mKYns7Lotzw0G3aSTbRJJu/biyGx4+h3vB5Mo2GmRCJ\n41nw/VYJk7iomOn6bE4a/ntZ0TgZsiiUsvcg1hpSEYuzzDmx3bUcmTopz0gFpiSKUW1AEMlGKSoV\nAkr9cgQmhRbT9iVPOO5JueAUEgcAs5scS3kOZFugtgR92rwYaaMuyrIZ6TbtJJuo6eYfNxZphIgp\nz4Lvg2gJk/UpPL0H93rmFT8nzYZrBrRF42zD1Poh8jiyzjmxXQIz/oQYAcRDlSuFj2rji+B1B4eD\n3QdPYsuu/eF3JvPCxCJW1EGhTMqRg1NIHAKwTc60BLgONgV92rwYaaIu0uafUH2fhQOi27STbKKm\n7pC4sUhDyJUJ4+2jNWVGWXHOqPrEn96feeVoeDrfffAkrnrvBfjRT4+ASorG2Qbv1iCEKEsE8FYY\nkygn03bZOK5d2Ye1GjK1LDxd93fRcsWTcmURbbq2VdBZporOn+KSoZUHTiFxACCUA68QXL9qiXEI\npAibZlDZhmES5psm6iJt/gnZaZ53LXnUV/DmdSfbXFWbdtJN1MQtYRrNk4ZnwbuaVKd02ZzR9Ul2\net+yaz/qHkVXheD61eYhvDKYVr7ecM2AXzWXUmx8eHesi8jGiVz1/tMqm3HuQT7pnswtZZtHVbQb\nJS8emENyOIXEAYDdk4JtM6i4YZhsICbPk+aZRf4C2yx1riUgmY9dB15QioJB/LuJWT7LWCTtt+6U\nLpszcX3i/37gxBnc++xkqhDeuL7qlMip09MRcifjs/ACne+/rXFOIkSH+hehq1oJFTdxPdpyD9qC\nc6PMXTiFxCGErZNC3KZblH/YVHFJ0ofe+T2hkuHR2Uq+KtcS28wrSO8CA/wx2z5aC60AqsgbXUXk\nOCHLPg+Pp8/GqkJal1Dc+2F/Z+NjQ4il4eiIfBYWUaSKcCryRL7n9VNoNHxCKiRpHmy5B23BuVHm\nLpxC4pALVJvupp2ToYnb1D+chwKT9p5Tp6cRBL+igtlKvjrXko08IiaEY50gNRGyefru83IJ8de2\nwsKn4rMwpc5GhFOW349MTGHDg2NoBBOnriD62nIP2kLcXChrdJxDNjiFxCE10myiGx4cQz0wMUwb\nmIDzEJJZ7jnUvwjzutW8hqSuJROYEo51gtREyOZpnpcJNpP8Mq0QPGk4OmKNJTa+NiKcZL83TVI3\nPH4MDW/WKlIhJLGVo2wcizJHxzlkg1NIHFIhbWn7pJtjHkIyyz1FYQWYp+NOiwjhWMiKKQpsXQr5\nOCGb1DyfVFngBZtJfhnAPEQ2jeXNtK+mv5eNr40IJxHbRmuYDkwe0w2KbaM1rUtpXrcfCVSpEGxc\ns6LthXeS8WpVevsy3L8d4RSSDoeNJEyy69MI9TSbY5yQTPN8af3iIqG0qJOaStglzcJqwscwtQxk\nfXYdCTipyyON5S0PyMbXRLFJOh/FPLm6vLll42PYEMKm45Vljua9tp2VRw6nkHQw0kx605TUaYR6\nms1Rd03aRZ20HypCaVEnNdZn8TpV+1kLl5lck9VypSIBp3F52HBL2EDacU86HwcuWqj9LLt/GYSd\nLSFsOl5Z5mje0UWtiF5qBziFpIORdNInSUmd9uSVZnNUXZPV9WLKe1ERSkVXyoETZzAyMdV036yK\noc4cL0tLXsTJS6WQmgpl2fyR5ZcxmWMmljdWFuHoqbOgAC5YMC9TnhIRWcc9ybpQEattIg93gk0h\nLBsvsc9ZIoTyji5yoc1yOIWkg5F00osbBp+SulohOCgI3FafvIpY1DpC6eAyPzHWt3/yGsbf+Bnu\nfVZeYCyrYrjhmgFMnZ5uitaRCXUbmUB1/VLxVQDgKw+8kKkOUlqXR5xyzEigjHfBsGWkhs23mlff\n1ZFwizzx6ojVNpCXUpvnelX1Oa27Km9XV9lcaWWBU0g6GEknvbhhsJTUrODe5mcnsc2womcapCFJ\n2iKYMrcMyyIKzJZZ1xFKb39oLCLoZPyFMFdFTIpxBl64Tde9kKwpy/gqCuy8Nn0dX0VmRZqeaU4S\nZnK/tNApLsPjxzAjKCOAPCupKtdLHAl3wzUDqcc967y3vRbzUq7y7Leqz1kOTXkfuFp9oCsj5oRC\nQgipAtgF4ACl9BpCyLsA3Avg5wGMAvgNSuk0IWQegHsADAI4BuAGSum+4B5fBvDbABoAfp9S+s/F\nP0lyJJn0qg1jeNyv9Jrn6S8LH0QmMJIS2G76hn8tANy/az8qQCiUmIVCRuwVBZ2Mv8AsKboU47xQ\n4pUKQggaHg0FvS7jK7uHqr9ZoBNSohUJQFiyniUJ0/Ffzs74lYDztCh0V0mThUR0NelyvcSRcKdO\nT6cStqbzVpbxNY3SbdK/PC0ZeQlh5wLpDMwJhQTA/wngJQDnBp//F4C/pZTeSwi5C76i8Q/Bv1OU\n0ksJITcGv7uBEPILAG4EMADgIgCPE0Iuo5Q2in6QvCHbMIp0jaRVesTrt43WjIXD8PgxzATKCADU\nGzT00TNhI0vTLgq6qoS/wITAgRNnQiuH7GQuCiUm3Hrn90Rq4qgyvubNHdHNgQiXpkLwvsXn4oUD\nJ8Nn3S55F0P9fjpzpshs2bUfAxcttK5IAf6c3rz+Stz11Kt47eh/oHd+N3rn9+D8BfPC3+hcc03P\nWK3gbd1VdFUraDSiqe6T9ttk3tt4t0nu0Y7uhHbss0MzOl4hIYT0Afg1AF8D8AeEEALg4wBuDn7y\nXQC3w1dI1gT/DwBbAfx98Ps1AO6llJ4F8BohZC+AKwDsKOgxWooiFntWpUcUikm4DL5wJBFrR1Bp\nXdsXJui2jdZAgCaSJC8EuqoVdFWItEy7TCjddtWl4b1MMr7mzWHQzQGZ6+ymbwxjpu6TTLfs2o+Z\nBg0VtptXL8Xgsl5cN9iHzTsnQeFbo+LyiKQlWjJXzFN7joTF90AI6g0v5PyICgfvmuOfkbl0fvjS\nYXRVCG68wryIn6z/JvPexrtNeo+83Ql5kGZt9LnsuUHK3r+s6HiFBMAdAP47gAXB50UATlBK68Hn\nGoCLg/+/GMB+AKCU1gkhJ4PfXwxgmLsnf00IQsh6AOsBYOnSpXafosVIstjTLJqsSg9//cETZ7A5\nKLRmuvlev2oJNu2cBOBbIW64fCkuOu8co2gRHXeBCYFGw8ONV/hzQmQziMpUGvJwEVYsXT/4v41M\nTIU1UzyPRtKWb3hwLHRXrVvZF9af4V1TsneW1kogdcU0KIBoW7dddalRMcbh8WOoezRxET8dBydJ\nwjrZ/DBBmvmRl/Djx6JCZpVUm/dPq7jmkRXa1hjOhdwlHa2QEEKuAXCEUjpCCPkY+1ryUxrzN901\ns19QejeAuwFg1apVzSy6OYAsiybrCYddu320prRGqMALR0boNfHl6yAKgYGLFobuFz4ahwmlLOTh\nLAqdbcHDhLYv9oEKAVeQcLaWCt9n5ppSCcy0VgKpK6bqW0h4dwuQr+IX1/+DJ85g22gt7AePVsyP\nPIUfPxYejSqpWZGl37atjLbHcC7kLulohQTAhwB8hhDyqwDeBp9DcgeA8wghXYGVpA/AweD3NQBL\nANQIIV0AFgI4zn3PwF/jwCHNorElEEUXyQ1XLImY3XUw2bCTbjDiPXVjE56+M5CH0xIdbQue3vk9\nqBCfhdPTVcEXrrwE33zmtdAdwwtxvs98HhJgNmIK8AV2UiUTUKfdBxD7rk3cU6ZjpVJkREL11l37\npbVpip4feQq/of5FqBACL7Ci1T19+nsT8FyttP22bWW0PYZzgbjb0QoJpfTLAL4MAIGF5I8opZ8j\nhGwBcB38SJvPA3gwuOSh4POO4O8/opRSQshDADYRQv4GPqn1PQCeLfJZyoI45SHporEpELeN1kLT\nfKPh4WJDczpD3IadZoMR76lLJsaHGBe14djeNFlNmYbnc0Y2XDOAm1cvxS8PXBgrxNlYiYolKPW5\nH5ySCZiFeMdxX2SIm5NpFD9VP0RC9UxDXo0XKFYg5R1ps3HNCvzJP74QuvO2jtSMDw8iTLlaJv2y\nyZWzPYa2+1dGtEwhIYQ0KKXVFjX/PwDcSwj5CwD/CuBbwfffAvC/A9LqcfiRNaCU7iaE3A/gRQB1\nALd1YoRNHEyUh6SLxpZAHJmYwtaRWmiar1aypw9PkvnRxMojGxtVErSiNhybm6ZYU8ajFFOnp5vK\nEcQpEuKcAHzXT73hYf/x09jz+qmmHCC6MVMpEDbrNJlA1o+h/kXo7qqEFpLuqnre2hRIcfM1b+F3\n8+ql2H3wJDYFpOZGI/04y7haJvwvGbK6jcV72R5Dm/0rI1ppIdHVhLIOSumTAJ4M/n8cfpSM+Ju3\nAFyvuP5r8CN15izy2KhtCURmzmb42PILAGRLlGaa+TGJUiFuKOKYqkKMWTs2NzfbeUuGx5tryvTO\n75FaO2QKrcxSVOWu8SjwzCtHsePVYyEBlk8cJyYyS+t+K8ISwfdv861DkaR8cRafrO+eZa6daVB0\nV4nURWTaVpY5yZIuZh1n8X3FRT0VGanS6QqEbbRSIZmTpM92hslGnZVnkXbxDvUvQldlNifIE3uO\n4EkuzPP6VUsS1S5RKV+yDYb/7fSMXEDq+p135dKk90u7YQ/1N9eUmTo9LbV2xOVi4ZUkALjj8Zfx\nzCtHQeFbXqoVAkqpNDoHUBeFZIjj8ySpepx0rGRj/7XPvt94nLO0DfiuTbZOphvp+Rs26vfYWPtJ\n31enR6q0M2IVEkLI2+BzJsYppf8h/O0mSunmvDrnUC6YLHwbPAsG3YYry1x5/aol+F4QulsPNlwK\nf9PdtNMsMiEpn2NkYgoHT5xBhfiRroRAmQBN9expK5ey702jJvjfqt6TasPO4pISrR0muVhES9GX\nPnlZpBowX99HjM4xmYNxiqCpdcBUuJnUvUmiYGQRrKJpOq2p2obF1JYFwfQ+cyFSpZ2hVUgIIUMA\nvg9/zp5DCPlzSulfcT/5OgCnkMwhxC18W+buuBO87G98GXYKoKsCNDyE4adxG1BSPocsxwWpEFQl\nIaWq9pgAUrlpGMRx5V0hJsJQ/K3qPakUH5borLurIi1IJz6PytrA2hBdXnFRNDrFTVYluKs6qwTJ\n3oGN07mpcJPNq6xVmrMI1rUr+7BlJBringbtGPXRjn2eS4izkPwNgD+klN5DCHkvgHsIIZcBuIVS\n6qFgHohD+WHLDKvbcFV/E8uy33D50jAteb1BlcJJ1aaOz8H/nvc9Uo/iuiuW4OIYUl2eIcS652LF\n/1SJwGQb9vbRWki6ZDlUZBYr1fOISiz//ywqx6NUG6qtsx5IleQgpDT8VzGmWU7HpsJNNq90VZpl\nBRpN2za1ZG2+tVhXSVkgU5DT8swc7CNOIfkFSuk9AEAp/Skh5KMAtgPYGtR6cXBogg0zrG6zV/2N\ncRjEk9/WXfv9CzXCKa5N3e+nZzx48BOAdXdVjMIX8wohlqF3fg+XmAxhtWH+frwgE4UMS9jFIBvF\nNM8jRuXUFaHaaawHLDFbw1OH0WaFqUCWzSvxXareUZK2k9arKdJVUiawPjs+SfkQp5CcJIRcTCk9\nAACU0jOEkM8A+B6AH8A/iDo4WIdus1f9Tfb9nU/sNRZOSU98/O91dWZ42Mo5YtJXPlkUbzmaOj3d\n9DtxY+YtQ+tW9mFrUI+mu0rCPCA80pjCxagcAkjTopsoO6pqyXmb5U0Essm7Eq174jsyaVs3TnlE\nlhQZrZJHW1ncXp1eU6ZViFNIHgfwmwD+gn1BKZ0JrCPfAPCx/Lrm0EqUYcGpTvDse5N+hVlDqVmi\nJNV9dZk7TSwBTAkxyZ+xaeckHhk7hKtXLNbW+OBPeqLZWUwW1V1V8zPiNubBZX4RQd18SGO+56Ny\nCAEqFSJNix6nYPDJ2OZ1R6sll0VgmHCveOteGiVK58Yx4QAlQZHWhbzaSqu4OstKfohTSP6r7DcB\nf+S3CSF/lkuvHFqKsi040/7IyIMbH94Nj1JUgqyhaZ4jItwThhCLhcT4EFUZR2XTzkl85YEXAABP\nv3IUALRKiWpseCWjXvfw/r6FGLh4YcSdlMRaY2oJSDK+vBKjK4ioU3ZEt8/0THO1ZHG8dARb8TdF\nnvyzKlGqcTLhACVFkdEqebWVlgPjInXyg1YhoZROA1DaDimlk9Z75NBylGHBmYRJ6vo9XffwyNih\n8DMBNTKDyxC5ryaEWCbI+Gsplz9DJfgfGTvU9FmnkKjGRuS3vHDgJPYcPhW6W1qdIZaBt/LokmSp\nlJ3h8WNhTRTAt7LoQrTjkrSlDeXNqujKXGVpIBsnkfOjY1KZPlORbrE82zJVolvlEpxryJQYjRDy\ncwComJ/Eob2Rx4LLkmNBFiYpg0gMHFh8biR3RdrnYOPBwntNEnsxQcb3iQK45cPvwoJzupXjcPWK\nxaFlhH026Zv4jOz0d8fjL+Mne482KSxJI4ryRtrTaqh41WdL2auuFZ8ZQJjtVTUuovLL3GkDi8/F\nd3bsUyouqvnOu+PEpHFZFX9VmyYcIHZ9ElKsDbdY2vw2RUI2LmVzCXYKEikkhJCPA/gsgA8DeC+A\nnuD7aQAvAfgXAA9QSn9ouZ8OBUK2AWQ5DWbNsSALk5RBJAYuOKdba+pPSl5l5d9lOUZMQ5EXnNOt\nFfzMGmLCIeH7puK3iAnF+IgkW/libG3MSV0+7BpT4cA/c6VCMNNgNXeA5/efwMjElHZc/uqfXsJd\nPx4H4LvT2Hs1VU5Fd9zv/Kd+dAX9SFt7ScVPEsOu4zhAQHLLaJr3JfY9z6ggW3NTNi4ql6BDNphk\nau0G8EUAfwhgGYATAEYA3AO/AB0B0Avg3QA+B+B3CSH7Afw/AO6ilM7k03WHPCESSrNwSpJudCZh\nkqrrRGKg7Lo0z8Pus25lnzSHgWkosonQuXn10lhFRNY31d9UAnvdyj6j+ikq5JHOPo0AMRVW/Fgc\nOHEGm4PCbgDw2IuH8eNX3lCefkcmpnD30+OR+xHiK5mmyqnojtsxfsy/CYIUvwmh4yfJiMkm68em\nZTTufebpGrY5N52LpjiYWEj2AngbfAXkPkrpLt2PCSGr4Reo+yqAP4KvxDi0MbJuHEkXdFoTrel1\nWZ6H5zyYmHFZn1jxtKxII7RFYST2XWXCj4NNgRInQGyddvn3t320JnXDyU6/Plcleq/1H+mXut9U\n8110x11w7tvwwoGT2mq3uufmxx+I5yeZjI3NasJxCkGegt7m3Gy1y2guwUQh+b8AfCuohBsLSulO\nADsJIX8C4LeydM6hHMi6caRZ0ElNtFnSsPPhkaZ93MYJM5Ug483p24JIh+0CGZYJRhNLhY1T38jE\nFO54/OWmvqdxy8XNiyT3i8uhYbsQoIkbTnzWt3X7PCIAuPySXvzywIXSNlXzXXTHLb9wAZ5+5Q3t\n+Onetzj+NojJWd0wDCYKQZ6C3rayY2tcHPSIVUgopXemuTGl9AyAVNc6lAs2No64Bc0L76Sbqo0K\nw0mjK7aOzFo8ZP5/E3M6yw/BQjLv37UfVy2/ABcsmCcNK8566uP7xDgtbLPmU7gncWPpODpJlAid\nABGf++tPvYozM41YYmkcZG443fXrVvbhyKmzeOrlN7AreD5Vm6r5LrrjdOvK5H2vXdkHEvxrg2Nh\nyxJlqhDkKeizjI1Da5ApyoYHIeT9AH4XvvXzRQD/DuDfKaUnbLXh0DrY3jjEfBBMePkhuggTXJm0\nmUZQi8+T5B7D48dQb/hKBAFw/aolqczpw+PHwmgPwK9Q/NiLhwEAW0ZqTQmssp76+D5VCPChS8/H\nlz55GQBEc3kkUHZU80I1nipFhVdueuf3YHj8WHh//rlJheDRYIx0xFIG0ygOU8tUhZCmas7sedMI\ncV3buvctjmPSAnmy9wDAGu+ilW6OrGPj0DpYU0gAbAPwYwA/BTAI313zPkLIEUqp45E4hJBxGGaF\nt1llXh5JBXXSE3pce7INz8ScPtS/CN1ByKoIFTExyyYv9okpI3c8/nKojAC+kpVE2TEdT+YuUil+\n7F+ZUGTP/eju1/F87eRsXxXEUtYvGwI2olwGSfYIaOKqy0khvm9glkSd1Vomux6AVZJpq9wceZJl\nHfKFTYXkfErpLfwXhJAqgPdZbMOhAyBuGBQIc0l4VC1gdDA1z5qc0OOEvclvTX+z+Vaf8PrGqbP4\n0U8Pg+kmJhlTTVPMq/oEzAp/HpWKecSH6Xiythh3hRUiFJ9RJUzYf73ze/B87YXw9ypiqe5eSaFT\nLvMWfuy5RyamcNPdO8JcIrd/ZkUma5lKAe+EaBIXFdO+yJoYbQmlNCilim2EkCsppTvY3ymlDQBj\nWdpwKCey+JrFDWPdyr7Qj5+UQ6Izz8ZlTs0iQEw5Marn4P++Nnj2jy2/AGMHTxopVklTzMv6zZe8\nZ64PAGg0KO54/GV86ZOXZSKjytpi3BXmLhLvP9S/SJubI0meFluCKU65LEL4bRutYTrImzLdoBg7\neNK4uKLs76pn6oRokla6ixyyIauF5N8IIT3w3TT7AWwJomv+iVJ6OHPvHAqHiaKR1RSu2jCymtNN\nuAq6CBv+BLp5/ZWJSLVJCLImKczjkDTFvAz8WFRZPxoUHoCf7D2K5/Ydj+2PeI8Dkmq94u+Yu0h5\nXyE3h8g3mjo9baQs2RRMKgXUpA0bRFHRZkU0fWJtxpUGkF2fh5slzfNnHbNWuYscsiGTQkIpXUQI\nuQjACgDvB3ASwG0A/p4Q8jPMElv/MHNPHTLD5NRuomjYsDLY2jBUCsbw+LHQPcAKrulcM+IJdJth\nATLZmMWNj/h3IDlvZmDxuYlSzMsgc6uoUs3H3WP7aA1bdu3Hvc9ONoU2y9pS3ZMRhlluju2jtTBk\nuqtCAEJQbyRPaJcnTBUDk8KMqjW6dmUftozM1vqJI2ryc2y67oURVGmKQ2ZRDNKEbJetuKeIIosv\nzjVk5pBQSg8COAjgUfYdIYTAz9z6fvjKikOLYXJqV+WnEFEmH61K0PXO7wldEF7wmb9GfC7ZCRRI\nl20yzu0gs0w0PPOEViMTU/jOjn0g8I0I6z/Sr7SOmIZ2ss+qVPM6DC7za8DUPapVZEyUAzY203UP\nhBC8cers7Pg2/BRmSZW3ViKiGGgKMwL6Ncr4RqaCMBKZRMhsBFVMH0z7k+b5TSyYumvKAFW/nZJi\nBzZJrSEopRR+hte9AB7Iow2HZNAtcl1+ChnK5qOVCbqp09OoEIQhrnGVfmUn0EzZJjUpwdn4bRut\ngQAYuGihkjej48Hw9XFkMAnt3HDNQFMNlCxF7mzwNTZcM4AND46h4VE8uecIuqoVNBoeqoGFJC6J\nWZnAxkVXmJEhThAnsfbwa/TUmZmwBg9i+pCkPybQWTBV9xav6Z3fE0YXtXqvUUUn8S7Y6wb7Updj\nmOvIRSFxKB9ME0/x+SmSmpXLhKQCUnYC5Umfug1ZrAlz5xN7I24H2XV7Xj+F+5/br01EpuIB9M7v\nMXo2k9DOR8YOWSkcZlNJnTo9DY/6lpCGR/GJ912AMzONMLtp3nwNm/fjlc+4jLCqUOmsOU7ufGJv\nqJwDvvVPN2/4JIVZlUzVvNCtT/4aXdHAVkDWb9E9tnmn3G3pEA+nkMwR6ARGEsJhXgXV0mRold2H\nXZ9GQIon0DilRlUTxuQ6k0RkkY1uxotkUjVJEy4jnK64aGGkb1evWJzYRSM+S9z7y5KSvlqt4Mk9\nR1D3aEiyVZUGSEJMLoK8zcDmVVxGWGYdYhFEgJ1EZZHxDDgkAxctDBVUYNZlJ7apm2em71Vm2Ylb\nn7wyVSb3jarfplYwB4to/GIAACAASURBVD2cQjJHkCYEUAab/l224fO5KdJsvLpcGFk2hLhx0eXM\niLuuwSUiqxB56XmRB8BnCJ06PR1bs4f1gyecyoRMnNVBBZP3t2nnJL76wAvwAHRVgPu++EuxbfDj\nd+DEGdz77KTRfDMlJpsW8jtw4kyhicJGJqZCa8Bz+45HEgZmDVFX5Z8RicJrhTZV88wGlyIJp6gM\nfDUGsd/iOkvCB3OIIheFhBDy95TS38vj3g7JYXLSMxXeNjcIngsBwGrWSVsnE563wX8G4s3OOsvF\nvO4Kpmc8VCoEG9esUJ6YRdN10nEfXBYlnE7P+G4a3gqWVnGLe38jE1P46j/6yggA1D3grqdexTf+\nyyqjfrN7bB+tNT23TPCpiMmqfsfxqbqqFXRVSGECRuwXSxhoY63x7/grD7wwS14XiMLEsM04LkUW\ni474bsvEV1OBje9aw7pIDnLkZSG5GYBTSEoCmwLb5gYRRlTMePCgzt5pep+sbgeVWVoX+aCqv6KD\nyRjKqgDLLBkmJ9Le+T2oEL+WTpIcI3GIe3/D48fAGYIAAEfeNCoaHkI2VqLSwEiEutBYfpxM+VSN\nhocbr1iKi847J1cBo+Js8AkDk7QfN5+jhSGBSqUSclvWBuMY12YclyLtPqOzdia5R6uUgqxW2bmO\nvBQS89zTDrmDCSRQOyc9W4tOFOhpOSRZlKQ465FJ5AMQfzKUcVx03AW+CvB9z07iz//z+3Hz6qVN\nrgWTdjc+vBsepWHgj00XhO79DfUvQleVoN6Y1UpuuHypdDySjJWORCgLjZWNk0khPyag0wrDPa+f\nwiNjhzCw+NwwvT3rPxsvkbSpSmCWpP24+cwXhrzh8qVSBSStUt1VneX+pNlnsio1Zc9h4qCHFYWE\nEPJf+I8AuvnvKKX32GjHITl4gVSpEGy4ZqCwBWqj0qopsrodVBugifUl7h5JN8nh8WgV4Ab1q/Eu\nv3CBUjCfnfGk6d4jEVSAtOqwClnf3+CyXty3/kp8/alXcfjNt3DD5Utx8+qlscmyTEOtZSRCWYSQ\n7P0wXoSukF8W5bZCENYlYlWJu7v8nDMzDcpZKAg8b9ZlouNs2OB4qRSutNyUpusojf6bsP9ZrZ15\num9toB0iFFsJWxaSq4TP3dx3FIBTSFoEfoES0Nh8HLZgShwsYmHq2orbAFUuA/5z3D22j9aMEs7x\nfRKrAHsebbqud35PpELy0680u2LEvplE57AxsxVhcrfAGdEJDdH6IVOy2DsxJRGq3o+OlBz3rKr8\nMOw9i64q9u7Z/zM0PIpqYE9WRWSx5zQpL5BmPps+XxwYV4mFa/NcItO5lNUlXEYSLIOz3sTDikJC\nKf1N/jMhZI34nUNr0KoFakoczHthxrVlsgHyAkp1P9k9mDC577nJ2ROxoSn7Y5e9A7sPnsShk28B\nFOjpbr5u6vR0pCgeIC9wl2aDNz1pphFcujkZ8lKCtp/hlCzWL96VY8J3UI1B0rXBcz1kuTH47MAi\neAvJdCP6q0+875344JLzmp5BjGIC4hXapPNZhk07JyMh5qbrM6nip0IWq2lWhcYGVGui7NabMsBx\nSDocg8uiuQ2KWgCmxMG8F6ZJW0k2QNNTtUyYEADXDeo5CSMTU7gxyKUB+KGyH3/fO/GOBfOafhtG\n63AuGVUkSlyIcFKrD/+MSRXLOKvT924Zwh2Pv4xnXjkaWha2jdawPahpIyM7xhGKZe84ifCKumP8\nyBvR4sUriATA5Zf04sips/jFJefhPe9cEI4hU1IbHtBdJfjiR98tbVuMYpIlNJMJP9MxUT2nLEcO\nu18Ril9WxK3nPK2zujVRZutNWZCXQvJMTvd1SAgxt4HIQ8gLus1etTDz2CiybAKy/pjeTyZM5nXP\nJk9TYftoLVRGAJ+H8KOfHoFHqbT+CMsSuyJIP89ImnteP2WU4XJkYirMIioWrVNZfdh3onsliWIZ\nZ3USa+oQQKoIZrW2mSqj/LMCVMrF4S0kFMDo5BQ8Crz+5lv4jSsvCft70XnnYOOa9ydObCemJNfl\nAkmbI2R4vDlHTu/8nlyqe7cCeVtndQegMo1DWZFXLZtr87ivQ3LkZY3IQnhUnZCTbBRJskQm3QRU\nQhrwxzNNllTT+haiyZ8AkYRoKkHMFB3+FC+7TnxOmUtg+2hNalkR2/zClZeEXAmPAv+2/wRGJqbC\ncTKNnFKRTsVkXqzqLwmEpOrarK4lE0VUnAMjE1N4ZOxQxELS8KKEW/79mPCq+LnLxjJu3AaX9Uq/\nj2ubIbS6cTlypk5PG4+xLkRe96xFIW/rrAmHxykiarhMrR2OPMyENk4Z4sLkCYHTM/qNImn7STYB\nlZBWuQx0baY5Da1b2Yetu/ZjpkFRIcCtH+nHd3bsM/LLA7NWBARRVQQ0TBs/MjEl9WnzVpxqtaIk\nUIpt7j70ZoTD8viLh/HUniMAIWFiL5Psu6LyxveVv4Yvunf793dj7ODJplT4WV1LujwYqvcpy1jb\nJaninIZXxf4u+5tqbcu+NxXEqsNC2mRpSRUXG2AHCgI0hW3n7TZxVpBscApJhyOPBZLHKYM3d3vB\n5yLbF+8t+u15l4Eq+kOEqSIknhY3r78y8vmXBy4Mk6QxqDZW8RS/++DJMG08X/BrZGIKB0+cCTOR\nshonFJCmah+ZmMKBE2fCyrt8HZxI+C2X+RMwy3nC5iif4l5WnIwvusfyj8zrnn1OFaE0yXyJM7nH\ncT0qmC1Oyf7GrztVng5duzrekmxtq76Pq68kWmfE9xO3hyR1Z+axflk9I0Yc3jJSw+Zb5ckMbe2H\nSXIMOehhTSEhhHwTwBcppQ1b93SwA9sLhI+E4M3nWTB1ejqsSFoh0IYn53nKiZzWAyHNMn4ylwGL\n/tg5fgwfW34B3rFgXuIEWgymmSlZ27yglpGVxc32zif2hmnjZeb7rmoFN1yxJHQnyVK1s0RtviAl\nuPGKpRgIOCtMGWAkTZb5s15Pln2XuRpYjo63ZrywFo2YyVTMPzJ28GRovZIpMknmS5q5JV4jpuWP\nIMjP4Xl+X9lvdMkLdX3SuUVNlQpbpSVsKy5pwOYQgyqZYVa3Hn9N1po+DrOwaSF5O4B/JoSso5Se\nBABCyGUA/pRS+jmL7Ti0GEwYMvP5xod3ZyLLiqf1uE0qT7Oo7t5i9Md0g+LRFw8DaD6JmcLktLiN\ny2NyNhDUAKRkZXGzlSmPfJuNhoeLzztHe4L8nw+8EOZEqTco3jh1NkKY/cKVl4CCgIKiUqng9msH\nQoJtkuy7Ytjs/bv2Y8VFC5symTKrD5srovVKJoBM50uauWV6zfD4bJ6OuueH124brWHDNQPa5IW2\n5nuchccGD8em4pIGQ/2L0F0loYXEVOFJ60bKwtdxaIY1hYRSehMh5M8A/Ash5PcBfAHAtQC+bqsN\nh/KAN59nMbuKdUn407oOeZpFdadOFv3Bc0yA9GMQd1oUa49QAFtHfIXElBMgKo8brhmIJd4Bs2Gj\noivk8JtvzSoAMx7ufno8JLfW62aViGUQrWKNBsUjY4ciysbU6Wl87bPvj+Qf2fP6qQi5VmaxSzJf\nbMwt3qrDlDL2rkULD/+MquSFuj6lPdmza/IM8VYhr/XLXJ4qDokKad1IWfg6Ds2wzSH5DoDPAHgU\nwL0A+imlxy234dAiJN3ETO6jO62XEex0t220hvt37Q/rtKQ1PcedFofHZ2uPMDQa8qqsKsEkKo9T\np6e1bTI//EyDortKcPtnVqCnSsLPN1y+FHsO+5WHSZCTg6FSIalN8Lw1B/BzdAwsPhdPv3IUgK9s\nnDozgzuf2BuJABoePxaSayvQu/vSQBxX2WdeWDOLB09y5Wvo3PXUq/jRT4+EYcOMi2PK7+A/A8lP\n47raPiqlJo2QbZXbIo2yk3Y/S8PXcVDDJofkOwA+C+AbAP4WwF8C+CCAJ2y14dA6pNnETO4jO62X\n3f/KNrx1K/sSn8R095OBr9TLhJusKiugFkyyzVbX5rbRWmjynm5QjB082US0ZZWH+aylFeKHiWYZ\nh823DkWqHPPKBgHwzWdeg0cpuqoVfPSyd+CCBfMwcNFCzOvORwColA1+nEVhzSweMmLvUP8iPP3K\nG/ACIvGGawZw8+ql0krOJu2vXdkXtn2W493oIFMu4sbMVGDHZbMtK7K4kZLwdRz0sGkheRPAckrp\n6wBACHkRwDZCyJ9RSr9tsR2HFkDcxLaN1nBxgrLsbKM6cOJM5D7iaR0ov/91087JkEz6l599v/F1\nSRUtvjBitUJwy4ffFVaNFUmTdz6x11pCJjHNMoF802WfVcI0DWSKElM2CJdbZbru4bGAv9PTNctb\nsR05Ic5X3r3CC3NeWDOLx/RMM7GXD2/3vFn3jCm/Q2z/6Kmz4fti7rw4l6dIoJUlPmNt88pr3Bwy\nyWabdPyLFOg23Uh5upR1KPthLg5GCgkh5BEAWyml31L9hlL6+8LnXYSQjwB4GIBTSNocYvSJLLOn\nCiJPRCSv8otXJ1hNwSJF2ClbPHFmWbCbdk7iKw+8AAChK+Hm1Uub2hfbEDfrjWtWhNeZ1L4goFhw\nTreSmxF3gjXZIFk/BoTcHmtjssum4TckSWzHookGFp+L7+zYJ+XvpOWtyMDXchHnq8y9IhPWvAWJ\nV5T2vH7KOLwdaH6vfPvVagVP7jkCvjROoxGfw0ck0IqJz3Rp+nXvip+vqmy2JrDJV2l3AZ0EnVC8\nz9RC8isAPkUIWUYp3WB6c0rpJCHkQ+m65lAm8JvuwRNnsFmSq0IFkSdy4xVLcZHCuqILfzQBC1Fl\nPIT7n5vEfV/8JamvP82CfWTsUNNnXiGRtQEAdzz+MlcJlmLDg2NYfuECAGqLUDgWyD/ySOw3b3EA\nEPI2ktyXCfaGRzGvO11q85GJKdz+fZ+vsvO14/itX7oEO8aPYezAyVAQ23TTiLVc6g0PNwnzVWYR\n0lmQWKIuFubLwtsJgN0HT2r7o1N2Dpw4g3ufnQx/K6t1I0JUctk75pUeVZr+OPAcoAqRW/RMYIsU\n2gkCOglaRaa1qfQlcdmcAPA/CSHnU0p/V/UjQsi1AH6XUno1AFBKT2XqYQYQQt4G4McA5sF/1q2U\n0j8lhLwLPun25wGMAvgNSuk0IWQegHsADAI4BuAGSum+4F5fBvDbABoAfp9S+s9FP0+rwTZZtsGa\n+uzFDU/Ft5Cd3pJOcLYoGeoeQr+6jQV79YrFoWWEfZa1z582t47UIn0CfHM9i2KR9YmNRYPjGphY\nIdJaCfh+TweuAZbcK0m6c/77SJE2LvuubIxYUjQxQyw7qbNx+sYzr4EGlouPBxySLPwd2TjwJF1C\nSOT+adxufKKuripBtULgBflWtuzaH9t/lbLD54ypVkiYE0cHFZ9IlqY/aa0pZs1iSuh3duwzJtny\n9zWN+jEJsy57tItNYZ5nfhcVVAewtEiikPwR/DDe3yGE9MIX4nXJ784F8KlMvbKHswA+Tin9GSGk\nG8AzgfvpDwD8LaX0XkLIXfAVjX8I/p2ilF5KCLkRwP8CcAMh5BcA3AhgAMBFAB4nhFw215LA8Ysn\nyWnc9PQuO70lxVD/IlQr0ciP3QdOYmRiSrpgk24IzBrCOCSiu0Zs4+ipsxFlhAT/9XTLs6uy79hY\n+Fng1WNh6xTIn25Z4rfn9h3HOo40aZrunPXfo/LoG5n7j6WaB3xy5vZAiRRDjtl7bTQ8/OKS8zK5\naWTv3rdKgXOD0DDvC5BcORsejybqajQoPtC3EM/XfMtIvUFDhUzmYtSBX1c8iVQswij2S5ZQT1R6\n+PsOj5sXa0yaDkA1h3QVyk3nfCsEdBLkEUpdNJlWlYclLZIoJGcBXAfgbgC/BeA8QshaSumZTD0A\nQAj5NIC/APALAI7Ct15spJT+TPjd5wDcQymtmtyXUkoBsHt0B/9RAB8HcHPw/XcB3A5fIVkT/D8A\nbAXw94QQEnx/L6X0LIDXCCF7AVwBYEfSZ21XyBYPI+kB8SXOTTgMSTcQmQAYXNaLP1+zAn8SnNIA\n4IUDJ/G5bw43RQYBiIS3bl5/pbFSIioi/HPybfDCDADe/Y6344r+RRHBk6Rku/jMSU6BuhofrN8b\nv78bz9dOhgKFQh3CqGubV3AIIbjqvRdIx4i5/3jFgwK477lJrF3ZF6nt49faIfCE5HlxSmUcp4c/\n2W18eHeUk+EBm3f6qexNlTOeIzTU35yo68r+RaFC4gG477n94Vzdumu/dh6q0pSruFe6KB1d9W/2\nnSlJVcyma7qGVQJN10fTOd8KAZ0EeVhwTPZZEVmsNLaVvkRRNpRSD8AthJDj8C0mjxNCfo1SeiJt\nBwghg/CJr4cBbIdvgfhDAGsJIddSSl9Ke+/g/lUAIwAuBXAngFcBnOCsOzUAFwf/fzGA/QBAKa0T\nQk4CWBR8P8zdlr+mtLBpDlSZ2W36Z2WmY8ZdYH3gczGoThcsjPKOx1/GT/Yebaoiy3536z27IuGt\nTHlQjZnJeMp+wwQqBTB+9D9QO3EmrM7Lnpu1yz7LNlOVUmgajqmr8cHw0qE3w/+vVv0qwuu48GKe\n6yEKn975Pbjzib0hkZPPqvrDlw7j6VfeaCJIMiVJJKrWPYTv6/bPrAjdAATAjVcsDRUq3TxgLg2Z\nK0glCEXXGoCw4CNTzvistwz8/XiO0OCy5kRdw+PHQh4JgIg1b6ZBlYJJR4xWzYO4KB323LL3y0cY\nyUiqqhBfk2rYDLJ+xwnqJELQREC3ivhaBgtOViuNbaUvVdgvpfS/E0LegO/SeIoQ8mlK6aG46xS4\nHb6SsJopNgERdhOApwOFZ2fKeyNwq/wiIeQ8AA8AeJ/sZ8G/YsQj+5vq+wgIIesBrAeApUvlJ+ii\nYNscKHNFMCGSJRqGVz54HkRk860Q0KAeS3fVry8D6Il3g8tms6rKFvzIxBR+9NMjkf4cPXVWK9zi\nxlP1m83rr5QqR3H3FjdTfqN+a8bDxu/vxoZrB6QbgsySElfjY3j8WMj5IACuG+xr+rtoumfChxdK\njLA5r9tXaMRaOjLLzPbRGu4N6uEwMIHPuwEaHsVFXPI8lfBiYypWbWZ/VwkDPpMqDw/AufO6lCUT\nhvoXoRKEJQOzHCHZe2TtzAr7WXRXmxPLsXd5kFMQRKVHJRhUUTpMqTp1ZkZpQalWCAhmE7vxigYQ\ntZ6wcOykEU+qfsdFjNkSgq0kvpbBgmPDSpPGKqNC6jwklNL/O7CU3AVfcfgUpXQ8xa3+D/h8jtDK\nQin9CSFkFYBH4Fth1lJKH0vb1+CeJwghTwIYgu9u6gqsJH0ADgY/qwFYAqBGCOkCsBDAce57Bv4a\nvo274bu0sGrVqiaFpUjYNgeK/urbHxoLN22xcilgZkbnQ4FBaeQUGzlxcoJ0ukGxaeckuqskUnlW\ndrpQLfiRiSls/P5ugbwY3F9xehTzUcjGUzXmccpR3LtiY3nqzExEgD1fO4mbvjGMzbcORQSAypIS\nV+NDFF7MiqPLL8EE1B2PvxwRsCYuH/49he6rnX7UCF9gMXT/zDRbJkQ+ysETZ8Lx4pOTiREoqrnB\nsvCKvBbAT8r265cvkXIkBpf1YuMa35LjeTTCEZI9r1gXiQD4QN9CbLh2oOndM8WqIhyLeKWH3ReI\nt7QBCJWqbz7zWuR98hYUtu66uARuDLyLCAEJncREg6n2BP79s9984cpLsPvQm1IOiXhNFrSa+GpT\nmKdBGaw0PDIlRqOUfitQSjbBJ4z+SorbLIQfwSPe+w1CyMfgu3O+Twj5jaQ3JoS8A8BMoIycA+CT\n8K06T8Dnw9wL4PMAHgwueSj4vCP4+48opZQQ8hCATYSQv4HvUnoPgGeT9qdI5DHReH+17iRtcuoQ\nNwIAkU2e9V92WmUn5RuuWBKbnE1c8GJYMH/TJ/cciSg5fMIolo+i3qChUEwSHaA7DemuE5UBESpL\nh7jJ3nbVpaHr4Oips9JoDFUf+fuJpns2Ruw98SncmVIjunxUWBtkvhXHYXDZbPSGR6OWCdZnpkRs\nfna2YF2oqFQruG6wr4kwKhMG7Lt1K/t8q82zkyGnxKNUmrKfQcy4CqjDpZmSuvO1WSVVVEbY2LOx\nbVBfUauyqtgV38LxlQdeAAEwcNFC3P7QWBMnSnxO3uLEku6Jaez5dScjVYtzVuem0bnOxN/xc6lC\ngOf2HQ/7nIcVoUwCuVXJ4FptpeFhqpAcgsRFAQCU0gcIIb8G3x3yFID7EvbhNQAfUNz7ZwHhdRt8\npeeHCe+9GMB3Ax5JBcD9lNKHgyyy9xJC/gLAvwJgCd++BeB/B6TV4/Aja0Ap3U0IuR/AiwDqAG5r\nhwibtSv7Mqc1l0F1kmbYznECVKeOof5F6Kr696hU/LwjFLOnWCaE7ntuEmMH34TnURCC0H3D2lU9\nly7Z2IyojECu5IiC/fJLejE6eQIepbj9oTF48KMm+M1ft7h53gQvqHTXNSkDkQgQM0sHL9iBWVO7\nGI3B91F3P1748JaICoAPved8XL1icUSAjExMSd+RCN04MCGqykQ7PO7X/FFlAJYJv7hN+KLzzsGt\nH+kP09WzVO1rNQoW/47jlPI9r59Cg/moqHR7xVC/HzVW50xjn3jfO/Gjnx5Bw6O468ezRmmel8I4\nUbJni1Mmll+4IFQgVNW3TQVZnOuMh2jV8qjP3WGKaB4ulbII5Fa7jlqtiDAYKSSU0ouDaBPV339E\nCPk4gB8g4FAkwJMArieE/KEsjJhS+hYhZA18heQ6KBQjRb/+Hb5LSPx+HH6UTFNbAK5X3OtrAL5m\n2nYrIU7uuEybSaFbxCMTU9iya7/WnRMi2ISZ66SLy7fB8nDwJ++uil/oLe60pFvcQ/2L0N1VabKQ\nMJO+qOR0VXw3BwUwMnkCXmDenhbcSGzzj1vcpnwRBpnwGDt4MrRyyJRNpszJwiZ5BWe67uGOx1/G\nlz55mbbPcZs23z/xXkk3WtNx4EmVQ/3yYo+qe6kStqn6vHFN85yTKZY8+HGW1ZhheVrYNKp7cjJr\nxBUUCOXzF8wLLRw8RD6KasM2VZx1ihf/Ox3iXGc8eNccS7kv8lPycKkUIZDjFOBWu47KAmOXTRBC\nq/v7CCHkw/Ar/SaRgPfAt2SsQjSShb93nRByA4C/hkTBcIiiiMmtWsRxxEj+dyzyhIE3DYsbGbNg\nmBDmdMJgcFkvbr92AN/+yWsYP+JHhHcFRFlZKOz1q5Zg087JsPYIIbO5RHhLhWzzV+WlSPJu0pzg\neGVux6s+n0CMxhDzjaRVFOL6Z2MuskicD1y8EGfrHm643H8WWbFHFs2iu5cqYZuqz7I5xys13dXZ\npGRsDg31L4oos2KNmeHxaAK2ClFXSZa5graP1kLBzdBdJf46adDYlP8mQtiGoI5wfBSuM749nqfG\nk6WzulRamUJeFnotKrhlch21EjaL64FSuocQ8gH4xFHTa3ZBYZUQfkfhJzRziEHW9OtJoTupiu4c\nvo+8MkKACClRdloyfRadMGDCerruoatrdoMEomRABsZrYAKKUt9qcsuH34Vv/8s+Zb0XlWUgji8i\nS5DFCwYTsvAdj7+Mt2Z8UVX35NEYPKFSpyhk3cizbrRiuDIAvHRoDNevWtKk6Az1LwpD0Zk7CkBT\nyK0qYRvf564KwUzD51fICNsRpaZB8WhQ6I8Pp+aVWbHGzFD/Iszr9ud3pRJfJVlUDnjBPXbwZPh8\ngDpsPS2yzIGkCrVMCUpbvFEVllx0CvmIVVLhgiqL66jVsKqQAACl9CSAOZdWvSywkX6dv5epjzjp\nSXXq9HSkpscH+hbipddPhaREPomZWKAsDjphwG8OjYaHi887B4A6A6dMgFPqF7rbfGsyywD7nuXn\n4BUykWzLEmSxa3rn94Q5PVTEQP5d8PBoczSGGPXDcojwzxLn2hDblPUp7UYbyYXBm6KA0LIWl79i\n22gNW3ftj+Reuf3agUi9FZUiQLn/RIhKTaRvnBtMRdKVjQugrxfEV5i+efVSqeDOwwpgcrqPQ1ZL\nS5rrdZFhRbtDeKWcaFxQRbiOyg7rColDa8FvymnTrwPmvn+Z4BVPqiYmyoGLF+KFAyeVScySIrRs\nCKGishN7nFtBJsB5jgLPJWBjwpKGsfb5fA98mPPWXftx/aol4WbJMMOlFJflq4hzNQAI3Us9MaRE\n2Qlyz+un8NV/fCG819kZOd/ExCWTdKMVc9DIsPvASXzhykuairfx75YE4xiOqQHZFfDdIey6mQYN\n872Ic5fl8gBomD+FwneD7Xj1GDauWWFMctatNZMK03yFYl1a+6TKvej+zEIwLdJtoosMS2MxtmUl\nsuWC6lQ4haQDILpMdOZmU5j6/uMEvKmJEkCkUBhz3aTduAaXqUNFkyZiYvcT63swhIpGhQCEoN7w\nBcunBy7EQ88fDPM98CcjACE5dtPOSXRVCQIvGwCfD8BXXRUhK13Pu6oA3wV2g4Qbwz/T4LLmtOPb\nR2u477n9kXZFQRuXITQL+PlDG80PT+HnYHm+dhJ/+dn3N1mz+Dm1hbOQqMiuorARW3y+Nlt6gF23\nbmVf6FoDfLfQ7gMn8e9B2n3mKrvvi1eG/BNd5Bcv9FkdH8ad+dFLhyP9kVWYjriQhPUqC6ftiuFz\nMPTO74nklklracgzikQ2rnGRREnvb5IU0ZQAnNYFNRfgFJI2h8ykiuDUBnVgVCxMBQ0TAryLJq2J\nUpZPIsvGpQoVFds1dSuw7/nxjtQ3afhGfgpfKDz0/MFIevBqkDyqGlhImOuBYvYkXyV+WOcXP/pu\nAIjwV1iODyCaOIzv3/WrloTJxTwhq6kK4rtmgoeBtcsLWp6ToiuElgYRImSg5MlSugPNwll8t2La\ndhOX04qLFja1w7vdxPfPWzpu+PqOUDHgE5fFRX51VSshiXvLrv1hThHRXQXIK0zrCLJian4WYcVq\n9KjW2MjEFB4Zm03AzXheaSwNeRHtdVFrtjgZcX23FUnmYEEhCcJ9X8qQOt4hA8TF8sjYIdQbnpRI\nlwRJF7RIJkxjy17CSQAAIABJREFUomQcDz6fRJaNK8np3XSTEMeb5zIw4dlo+IoYLySqAXGRT72t\nygj6wSXnhX0RyYtbR2poNPyIhQMSK9IAJ0w92mxFUT27zFp1dsYDIcCHLz0fPw5cBYCvrPCC1qRY\nm+4EKSsYJ/bnrqdexWMvHm66ryicZc/GWwpEnoaK68Mrf8Bs+LpOOA0uU2drlfFbhsf97Lu7D72J\nX+xbiOf2TYXK4CNjhyLuJgC48Nx5+EDfeVh+4YLI2B08cQbdVT9pn0iQFcPw+WfTWTpEPlIFfoXq\nJJaGuLBsG4h7H7YVZFnfbSlbrYwEKgtsWEgeA/BfEaRMdygW4mJhmRZtLHxxM09C4OT5H0lMlOy0\nOFP3QDK6bmyekvj+iVFEfCZSABFFjCdPin7/wWWzGUFVSajEdwD4NXee3HME9z47e8Jl7R44cSaS\nLdWUQyRu3l+48hLc/fQ4KAX+5dVoSXHeFSi652Q8Ex05lpF52XiyCBXe6jA8fgy/89F346rlF+CR\nsUNY9PYeHPuPaVy9YjGWX7hAWYCRh6oPKmHDJyMTw9d1wkkM0ZW5EKoVIlVEu6qzSf+uXrEYO8eP\nhRaSrirB8dMzePylw/hxUKQQQISXdOPqJU0uGJ4PAwBXXNKL97xzgTbpmfheKwT40KXnx+arYWCu\npq0jtdB9KR5SZBFtaZBF0TFVAOL2ERvKVisTo5UJNhSS9H4Bh8yQLRbbPsq4xSIuSDFiI/FJJUj6\nVG/QzK4b2+ZR1eYkuoAAM0WM9S8uCZUYNcC7onjya1e1gu4q0QqbOIxMTAWcF/9zw6PoqhB4XvMJ\nnL37s0F4tpjXJC7vB+s34LsRGH9CfGY275hSx0Kkb3/IvzfP3xEVQF0fVO9z45oV+BOWZ4QLXzdR\ncmVzjr/u4Ikz2PzsZBNXZWDxufjUwIWRdcy7Qjc/O9lkyREjxsR2xTbO1j3firYKTeHlPMQ1zZQR\nVUFM8Z3JMrMyLo1NwZv20JGGF6Jbw1kPPnm5tNoNjkPSAZBxIkwsG6YwiUJRRWwkJZMNjx+LpMnO\nmlArTsjL/p6EoKa7XxJlKO63kagBrphZtUKw+8DJ2XonDQ83XrEUF8XU+NFB5CSI7ibx3W+4ZgBf\n/ccXQClC/gx7X8Pj6rwfIxNTGDtwMtI2L0BV804q9BoULM2eWAlX1wf2DOL7333wJAj82jViWve4\ndyXOA9F1sX20FhLP+TvfcPlSJR+GWR3EU7jsZM63t25lH+5/bhKMguOTgV8IK/iq8gTJhGykIKZA\n4GYCnb0zmbtL906zIM2ho2y8kLxcWu0Gp5B0MGyZAVWLRSaA+YiN6XryMMEwpDI4cROgqcKrjWdX\n/T3tmImbtSzzaxbIogYYp+SFAycjBe2ytjvU35y0S3Q38fDJw7OfeVKlGCJ71XsvABA9SfM4d15X\naF1TzTtR6BH4UUkNOkvG5QmlLFEgDQrJ6ZKQyZQdnjMTBxnJfNZ1B1D4/eiqVnDT6iU4fbaOf9t/\nAr+45DxMnZ5WuidVp3DRDbLn9VNNB4KQ5M7BRCEQhWxEiHMEbv4+/FiHLXIKXVkEb1G8EFPYsLJ0\nApxC0sGwtajiTkuqTKQkQUIiXrlhbZ06MxOWR+fDdpM+u4zbwP/9rRkvzDUxPD5bXVWVeyO2vSCU\nN2uUkKjwie/gzif2hgTgpH5+2f0Zkm6OorJ4y4ffFXFlfe+WoZAn88OXDuPpV94Io5NEsiVfyI7n\nHSj5GFz46p7XTzURShnplkU5xSlXUmUngeCUkczZZ5YTAwDqDQ8EwA92v47puod9x06DANoEdKp3\nBSDizuPX3CNjh9CQROokfS5AHv3EKmOLY810IBZB9vWnXsUHl5wXWd9FCV7Z2MXN8VYoTrbdy+0I\np5B0MGwSvsTFoqroyy90plB4MXwGmXJz21WX4s4n9oabqywRmKqv/LMzS8tP9ka5DYw8y/gLz9dO\n4qZvDOO3fumSSP0c01ov4smQKTQ8JyIJdOGMDCo/f5b7M7D/3z5aw7bRmjZfBZ91t0KAU2frTRwi\n5ooTo5NC4uT/z967RldxXemi36q9JRnZQoiHkIR4CdsYSyRpBBhiJ36n7T5+xGCHxBndx8eH2Bmd\ne/vkjr6jk9uJCSHdHt2377kn6T6+J8ZuD3ePYTAx+Jlu0jYYsJ3wFDFGMhYPGSShJ0IvIyxp71r3\nR9Vce65Vq2rvLQmMieYYCZa0d9WqVVVrzjXn930TXinFDGBt4nhmiZCAuzZAKWXsvEpXeqHAsGAn\nk0DaDMg5yJxnXAAvi0TlLa7zEdaILyybR5iUVGsDXQTMBMeSLZlThB/cvSCrZ9N04gBC51pI/X6+\n+WE7th1p197v0RiVsNJ1MzexVzwgvdC4kHHL3sYDksvYRvpS2RZAANpCFNXRl+/aMpGwD8vk8H43\nNiGwsLHywOjn247it8fPWLVIHqwuxwZfswPw/l7X2qe1cU8XDNEYaGfopeW975OmRLoSykib8I1m\n0cykhm6Tsredw3TiNnn7KHbSSBqpVc8uSmVELKJ7trHZjpmOchx1zynrY16rDWSuWCeJVBlsfklB\nQIlXIth76efbjlqpyVzNln9/9U1zNQXb+SUF+N4LNWjrG1Tjz8uJpX1ewjILtsDVNtdfuWYatn3Y\nrumfjEX5w+xvxPsHmcafcxNblM7GMxYX38YDksvcxgLwRbtkLgaVrqMvP0Y6Cfswp2HuvG3HiHKs\n1bPtku9kKxeVa71Owna0tmCIL9Y8zU/ATrJEUqraPu9Fwo+TbRM+biNdNG3HN6/JlLIPK19xJ3y6\n5zw2+j2EMmGzAAg470wCLJM5MxgSNEadNyqYTXfuMCYJ/y4FDvS7lRYmFZWz9n58Fsf97tOkHwQg\noLBK+jNaw0eW/XAAFEzI0TIQ1bOL8Be3X6vk54H0+i38GjMpddnmGgDePdapxj+SMpHN9jR0BVoC\nhAU5yyqmKFYaoGOLxu3Ss/GAZNwCZjornlo2xcBy4g6qygoDglOZAmGBcKeRiVNO9xnbsfkYNj62\nHL/cdQIdfZ8qlsP8kgKtmZ4ZDJnaGWvvrVTaKdLADwoB9J8fxj/8Rz2AYC8SW0BFv49iKI2WPWVz\nHiYYMyeeKmmlK1+R06WGhkAwkDMd/Wgat5lsLIlwEbiwAGNLSNkxnVmZJAZ7KJtAh8YB6E6bn8cB\nsHBGIY609uHFfY2IxxzE/ZIIKf9GUb3pebMFxWHXSHNjqvNGmXmN1L6BMDxmpnQkz/GyiinIiQlt\nI2FrDknjCROru1RsXBAtZeMByWVqmTzkmYIagVSfGVu6fe0bqTQ7F7bKFAhL56TP8IUlXUfUTD9D\n/21zgu8e68RQwkV9ewo4G5VZMbUzdtZ3wHV9B2XgB4UjsLtBFxZb/84JdR6OdTGb8EXpI2TLBArT\nj1hW4dFQaxl1mJrQbfzOMvU36tHCAcL8OHR+s4vz1trWUEemAYETLp7wnQZ/jsKuoyg/F3FDvCyb\nRpI1p7qxuaY5VXbMou+TjUmSlEB9Wz+qZ+sdpdPhiAIgWgHNaRM9OB4TqGINKE16Nx0r6n1/+IZZ\nmjZL1OeXVUzRxOHMjtGZHANItW+wYXhGymirnl2kWgKc6R+EBLD2jTpFQSYGGuFLwsTqLoVAYFwQ\nTbexCEhuBXB0DI4zbmNkmYr+2GiqQGph42nfMDGwH71yOCBsFXaMTHALYTvLTIOZdNdtOotN+xuz\nzlCYnIX2vk9Vt1fTpCsxfeIVAHrV7052DWjN2ngTQLMJH82RrUSUaU0+TD8iHnPgSomEkfK3dTOm\n9D2Jn+39+KzqWGwrNYWBibnx7BaY1L4pkBb2fKy+aa5iYcUcnRoepQVCQUMimcpKPLR4pnUON+xt\n1LIKhBdypdSaISZZFoEDpiWATfs9nJINS2SWFCCNwIr1paosK9SygSsYziQbx8pVa8PKMVpmwcfo\n8IAt6l3LVDI+2+fYHB+AQOlsKOHiiVcPgx5pji/JZK0xx3+hg4PRzMHlaKMOSKSUu8ZiIOM2dpbJ\nQ67tTn2a6ksHmqxiR0B42tt0zp39g5FNxKIUXaPGHfa3bB31sopUR1wJ4MPWvlTq2xE41NSDX2w7\nGnC03Ah7Mpz0QKzLK6bgSGufJvPtMErk4zfPwy3zi7H+nRM42TUAQA9+tta2KjYCFz3j2A4eUNwy\nvxjxmKNRLjN+Hgz9CH7/BIAbr5mKu6tKA/gHU/yM8CVhLKswMDE3nt3aWd+B/Se7Q58r8zoGh130\nDyY0p0nUcCBYfuLaHC+sXhZ4FikY589TfVu/wl1Qqa17YEiTVOcAaMInfO/Wq/FgdbnC0iRchNLA\no0oKFDRJeBmR7oGhrLKONqs51a05bCrH0LVxJxyWWQg8U+xZjpKMN4+RLeA47HlQ2SV47CVeystk\n/bOJ7l2sjEWmWLE/FBsv2VyGlg32gnYXEuFiR1HGnXNOTGBqQV4kyJQ6w1aWTkzrJPi4w0CYpuPh\nbA9b87nq2V5HXMI6uK7EN5fOUuyGtxgrIKw3S/XsIqy9L+UIn999Emvvq9LSxICeQq+e7QE2v/3s\nHi0go/ETTsDWwEwTm0tKvPVhO3JiAt9cOisjETSNBcMbAPpy8LR+58QE7q4qDdyX6tlF6B4Y0gRL\nhUg1abP13wkreYXJcf9i+zH1/bgDq4KoLfNQWVYYyCgBOuaJa4GQ1P6MSRO0eQaAH71yWGPNzJ9e\noJ1/a20rvn/Htdpz+MjyOYrazoMJ6lGkvV8h71Qm/W/MrBVZtjvsLQebYcqSUFBiEzAM24jYNhdR\nkvG2Y9jKumSZBAbmc/3Q4pmBLsnZYs8udsYiag7+EG08ILkMLZOHnD5DO5pk0i52lMm5Nj62PBRv\nwo9BqWJXSuw+0WXVnAgbt+2auKMm3AMX4aLmc6aDX7GoXJPhpj4ytBsliyo5UG2cn/vJBxYG5ibq\nvvDFL0rYzBY8Jl2JMkvvkrB7ZOJs6L67vvz8bdcV47s3zwtdkJdVpNRbhZ/BSbqwAhXD7leYJgQv\nnwDAbddND31mzczDoWavFOYI3flwZ1NZOhG7T3QBvkaHuYMHgqn/4YQbKLXdXVVqva47K0tCgdr8\n/cqWLZXJe5wu62iarfGYl+UJBnWZrB/ms8yzFTb2lu0ao7If6TJstMHhQF3eAygsYA+b288iYxE2\nB5eKXcwS1nhAcplaJg85fcbWrTabh888l+1FN2maXMDJzGbYzhslfsYXY1pMSYQrTL7eHGN9Wz8c\nv14fjzlYUFKgAITmglhzqhune85nXDaxZQVqTnlt46lcFCVslq1zy+QeURDgiZJJfDqctM4pnYPP\n2eme83jRbw5HQMVMNCu4k+GaEDzzAQA76ztCJdTNzAPgZZbMYM7srUR6OLfML8a2I+3WjIrGmoml\nSm2mwzOvy/yZz8WTDyy00n1Het9stnJROSSAqrJCa3aL24pF5fiVn9EEgJgAvvOVCjy/+6Q1cxdV\ntjDHZmYrKFOYDquWSaBle9b5Bmf/ybMKPJ3pGjLSIPAPyS52CWvMAhIhxLMAHpdSJsfqmON2ccy2\nwI7l8YDwhm11Lb1aNiMbVglfPHhTv7gjVLAQJl/Px2jKi6+9tzJQXuElB77Apiub2NreA3rb+FVL\nZ2pCWGGL4YxJE7D23sypsVFqlgp86gcI7x07g90nurDu/qrILBWNkWfBwhyYTcWUAziTbkrbhGc+\nwnrH0PF4Hx8KzmxlNTOLJvyQgxgy1CNpfkmBNheAh9mob+vXmClR8/zywebIoOBCLOLmewEgo6zC\ni48tx9O7TqCdUd15lmckoOkwELhZbnxhbyN+daAJAojEaaULDMwNzlCacWbjWC/1jMXFtItdwhrL\nDMmVAP5DCLFSStkLAEKIawH8REr57TE8z7h9jozTNG0N257acVyTFM8GgAbYHU/SlVi1dCZmTJqQ\nkfonTzfTjp8WRHI0trFElU0oGNi0vynFHhmObhufbcO/qOAlnZolXR/XWyEswabHl0dKe5vOwqbn\nAQSBpd0DQxozRiJVEltzTyXycqIBjuYcZJJ50HAGMQc76zvUuROuB4Ql4OXPtx1V4NWkREbaG6ai\nbYwp9Q4lMu+FNBIz3wsBaBTyqIaU7/hU97oWD9D68A2zrNmOTLJ/UY7eLDcCHlaN8EdRTi4qMDA3\nOLyhY9jnP29slkuBlnyxS1hjFpBIKb8lhPgpgN8JIf4CwCMA7gXw9FidY9w+X5aJ8FU2ANxsPsP7\nj0Spf9pKJ/z4pIhJ2ZtMxmJT8gT0tveZAOq2HGzGnga9V0mYwzdpiz/fdjStmmX1bA98uvtESmQs\nUyVLni0x9TyK8nM1uXOzbLbu/ipsrW3VWDg2Bgk3k2Hzgy0fYOncyZF9ZmictlITGfWOefKBhcG5\nsGhvmLanQVe0TUpPOwSQKvNkwyBFZa/CNGPMcZAeCvy+NSsWlaOyrDDAOoqaS1464+fKtGzBj2WC\nwHnm5Ln3GnC885z6nhA6xTxb45gm2uBEjfPzxma5VPRJLnYJa6wxJM8DuA/AmwBeBFAhpTw7xucY\nt8+JmQ62e2AosPPO5IEf7WeiasrfWr8bw0mJWExg1dJZmoOz7aqigLfmdWt0RB84Wt/Wj+6BobTB\nGQdfUgkqkUztfMOCF8oImcFQ2CJcPTtIO7UBI8OcpOmQb5lfrJ3fo8bqZbPugaEAC4euKQpTwBk2\nxzs+wfGOT6w9dsKwAlRa4aUZYlfRfY/S3rDZsoopmqJtbkzg0Rvn4jd1bTjZNWDNAkRlr7SSoK/A\naittcD0U3itqT0OXVcfGHLMpp77lYLOaG856o+A3XQbK1J0xqdZfmFEIsIBk8ewi3Dy/eMROLltH\n+XnDhlxKGZ2LWcIaSwzJ8wAeAPAMgP8B4EkAXwSwY6zOMW6fraUTmzJtLHclmbwU2b44Ww42K6dA\n4mC2dLMN4Mk/Z4pn8Z1rPOYBKXfWd2DbkXa8+WG71mYegFWZtqXnPDbua1SlodsXFOPtj7xyw7pf\n1+kUZxa8cOfvAFhYXoiqGYWROBdOO+VYHHJMvImd6SQfWT5HC3wkUgBRApsSldikr9rwP1GYArMZ\nIuDhErYwMb6oY/FzHmrqURRv6h1TPbsoUnvDZtWzi5SirYkhAexZgD0N4b1YTEdEc8qDThPnQb2i\nsgFb33ZdMbYfaYeUHtVcAIEA1wxQwuZixaJy1J3u1UDgJtX67DldRfea6QWj7vjL38NMyhvZfv6z\ntM9bRmesbCwzJH0A5ksp2wBACPEhgC1CiJ9KKZ8bw/OMW4RdqBfNVn7JxImk25Vkqiqb6TVlmu4G\nghRI8+fq2Tqt0HaMDXsbNfGsxq5zeH73SbVzXXtfFboHhhSzA9AdDC36nAZLwR6nJk8tyFOBxtCw\nXuLgwQugt59fc294l2VbJsGkUm852Ixf7W/SwINkg8Mudjd0aQ0QiwvyNLlzkphfsag8UJ4IO+fL\nzPHywLeqrBC5rIcJ2UsHmrDZ1w8xszG2MhUd851jnQHNmnTPjM24o+PXEkblXlYR7MVCz6uJeaEe\nNSZdmQekJrA4CmxtZmAerC5Xmi/8eTMDlDCQMT8nD4SoSSUFzKfODqjvxWNCMW3M441k7RqJONzF\nKIeMZi2+1DM6F8rPjCWG5C+Mnw8IIb4C4NcAxgOSi2Bj8aKFPWjmzs3cAY0EmGY7rnmcbK4p03Q3\nWWVZYeTPlBYfSrgarZDb1tpW7eff1LUFdq623icxR2iLvq01Onfi9W39gaZ13LmSM4nFHNxy7TRM\nLchDVVlhaMo9bF7NndmZ/kFN+ZKbBFDX0qs5osqyQrwkmkFy5/Vt/VrgWumPKbRUFXM0cTIz8CUB\nun2sOy5lt+j/eUAWpoNBCz7XrNm0rxGufyDKYGX7/pjzF9YdmXqx2II0UzPGDDoHh13UtfRqoOva\nll71LCWSEo0sAOCmgbIZoBqAopYLICBTHwUGp3MuLJ+IqhmFqCwr1MqSNHbAC/pX+TL9HEdTmQFl\nOcyyLW9cjHLIWKzFF7NUko1dyIAuo4BECLEVwGYp5T9nc3ApZaMQ4sYRjWzcsrbRvmhRD5q50PId\n0GhSiulSk9lcU1S6m77HWT9ba1sV2t/s6AtA07sIC5auyIlp37mrsiSg6cBr/YCE60L1JrG1Rgd0\nwOqKReVa0zpzrKZz3XakHXFHYLNotrYBiJpXs5Sy9o069R2jkbE/ZuAbS8oxw2/ytqdBlzvngevQ\nsF0Thp+TgKdhgS8J0NGzOpzwhNqkK73ygwGe1spNTAeDzrunoUuxvLgNDo/MUWWaFdzT0BUKyDUd\nET23L9U0q3LYSweaUFlWqEDX1P03kZSRgn7p3reX2fEosA0bp4kfOdTci7rWPjgiKDxnChGaOJqY\nrxoskQIaZzr32ZY3+LhtbKR0u/9MsgOXEgZkrO1CXlumGZI/BvA1IcRsKeWabE4gpezPfljjNhIb\nbd0xqh27baHNptYeZukW8GyuKSzdTYEBSYMP+31seDBiAhg37G3UGBmxmL252OCwCwdARfFVePTG\nuZhfUoC+wYTa+Wq1fpnayVNvElsfE9sLn24eTOc65LcBAOyLhlqUE8FFmZdSeAO6O6+fjneOdWqA\nWRceboJrdYQFrsIPvmyMDJ7t4Rond1eVYi/DXNA4qZy2aX8jPmztgwsocCfvaKtpVfg9m3hPGZqH\nT4eD3RGjaLNRFrWzDVOrpb/xzIiZQTG1WniwRt1/G88ORPYQinrfNMZMwsVbH7YjL8exyvjzY617\no04p5iYsz50NCP7UjuMajibpSlUyNYHGmcx3tgBX3tCSs5HS7f4zzQ5czhiQC3lt2ZRsegD8SAgx\nVUr552EfEkLcC+DPpZR3j3p045aVjabuuGFvIzbtb4psx27buY1FZBx1nGyuyfxsfVu/6puz9o0U\n0JCMgpJZk/Px2FfnqWOTI+NQhQervUWZAKh7Gro0KfeTZzwGAS8ZEcgxLEiKCuxsPUzSzUNRfm4A\nB2NKqvO5okWZgLJmScpk/UwryFOYGtIuCcvWmIErtYrfWd8RuYuncRFuZ35JQUouXwJrX09RVE02\nEZXIyPY06FoVdM+5iBaN95e7TuCtD9u1z4bRZoGR19CjKLf82XFdF/S4EguHVGrDspSEy0iXuQx7\n3+h+8+d6cNjeeZkfq3JGoQpIAG/tgNQp9OY5TRwNoGffONA4E8t2LTJbP4SBis0xZJodGM1afKnb\nhby2bAKS/xOersh3hRBFAP5USpmwfG4igK+NxeDGLXsbSZCgHDBbvHk79ouNSM9E4jnM+E6batK/\nOxF0TEAqQ3KqawDrfu2VJqjmbX5+Yl48AOqNOULTrNDKEwkXG/c2Io81yyvKz0VdSy8kUs3jKMD5\n3q1Xo+ZUt/rZ9sKHzQNlFV460KQFUTZJdW60KEcBQLlk/cZ9jYjHHNx87TTkxMOZHHQMKj8Beilg\nYfnESFl+jttZsahcZ6QkU2Utk1pta8hIWhWAl83x7hUCGaFn/mwxNuxtVB2ZCTycDsyZTQ2dNG+4\n8TIdd3T86YvKNNiC2ZE6C176e3F/I5IutCaGYQrBVWWFiAkvYMyNpYDc6RgvhKOpO92LD5p7I+/l\nWFvYLj/d7j+b7MBYbdguRUbQWF2badkEJIMAHgSwHsCjACYJIVZIKc9Hf23cLnUj7QKyuCO0duzZ\nqoRGWbrvmVLrpl5HpuflOxmtTS2Akol5+PqXZqCutU/t9AnfkHQl/B6D6msCQF1rn9o5EsvF1Kyo\nLJ2olD6B1A6zrqUXKxaVa/NoSozbWEuZ0CLDRNgEPDpnlEpoJosr7RrJSQ4lXGxL023YfGZWLirX\nSguVMwpR395vleXngmrDCRdn+ge1Y8ccqM/beqeYzwhnIlGHZwdBvBAAVToh1hSBh00bSQ2dzwmP\ndePs+nkmjWdIojINNscwGmdB3yMQKuA1MXzitVpISzdgCiAlvHVj7X1VkVL7YX2dCA9k3ssLZWG7\n/HS7/4ud+bhUBNIulmXFspFSugBWCyHOwsuYbBNC/CcpZc8FGd24jdiyCRg4noDq2nyXG6YSOjjs\nqp406fp90JjMl4vOQQsur/kPGiDITKjG5jXxBZ52fB39g3h+90msuadSpbcBqPMmpee0Yj5YMjdH\nDzbIUZmaFXsaugLAT9phAvoO2ARrZspaMo3uj7m7JDpnNiWusM8W5ecGrilKNt8EA0voJaiVi8oD\nsu8myJFKTVML8hSYVwBYtSQlcW52eq051Y0fvXIYm/zdfU5MYONjy1X2iQMrw3a2O+s7Aj+bz/ZI\nauhagOybgFcKtGU2gCCG5GKZt0HRf0cZQ/PZ5PfaLJkBQVxMup5UY73BibKwwC1dQHehsgM2u5zB\nsTYbEe1XSvlXQohOAH8PYJcQ4i4pZWu6743bxbFso+qoBcG2+HL8BPU/sdXazcXCdFS/3HUCO3yx\nLwLP8UyNMNqiZ+K0bbtjWgypbwuVVGpberFyUTk6fGxDMql7i1VLZmrsERvLhRanDXsb8WZdG3yY\nCKRMlQgSLnC0PdVN2Fb/HylryQy8MglEzHuf7rOc4eNPTaRs/ksHGBYpZg9A6NxkXKQOABbOKMSa\neysBQMNN8MwdL+0ACOCESDQtU6dXc6ob24/oOJLtH3Vgw97GQAniK9dMQ4ffnC5s/vizyIN+1w94\ncw3AqC37EWaZiBRmo8nDP1+Un6vGCnhZqZgTLNGZ9xoGONpch1awTJkNND+SUvPlnj24nMGxNhux\nDomU8h/8TMkvAbwrhPialLJh7IY2biO1dHRVm0XtFmwLuYmfsFFiTcwFX7yEI5TyKOBlQ2pP9yqJ\ndEcIrL5prkahJacdRdczFygKJpZVTNGzHBIeiFemxLTIqEmZ6djDFgYujgZ4bBQB4E0Gkjz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oEyEebcrVxUbt3JOcKOfzDLPcfb+zWHYAL0zACIdDne/qgjVJaff8cBsLC8EEfa+pFMekDY0z3n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Zb+YkF15J2DFV3RabYmyunBXKCq3+2VDmnu0MmApILjPUVF58LCFZ3wVKy5nHRU1zaW0JgGBm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\nRCR3CkhEREQkdwpIREREJHf/D/iez9aq+xdYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacd443c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Nicer plot for slides\n",
    "\n",
    "plt.figure(figsize=(8,6))\n",
    "plt.plot(expvario.h,expvario.g,'.')\n",
    "plt.xlabel('h',fontsize=14)\n",
    "plt.ylabel(r'$\\frac{( Z_x-Z_{x+h} )^2}{2}$',fontsize=24)\n",
    "#plt.grid()\n",
    "plt.axis([0 ,1.2, 0, 6000])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CpEHRzB/kbi7IGLQPC80oU6irXA4Yepn59YhYPqt5NTBW3L4CGKcWequBKzMzgZsiYiQi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\n+P94/dbRaG3O3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacd4a5358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# From the variogram cloud, computes the experimental variogram\n",
    "he,ge = expvario(hmax=0.7,lag=0.02)\n",
    "\n",
    "# Defines a variogram model: adapt the range, sill and type\n",
    "#variomod = geo.variogram( 0.5, 8600, typ='linear' , nugget=0.1)\n",
    "#variomod = geo.variogram( 0.4, 900, typ='spherical' , nugget=0.1)\n",
    "variomod = geo.Variogram( 0.25, 800, typ='spherical' , nugget=200)\n",
    "\n",
    "# Superposes the plot of the two curves for manual fitting\n",
    "hplot = np.arange(0.0001,0.7,0.01)\n",
    "\n",
    "plt.figure(figsize=(7,5))\n",
    "plt.plot(he,ge,'o',label='data')\n",
    "#plt.plot(hplot,variomod(hplot),label='model')\n",
    "plt.grid()\n",
    "plt.axis([0,0.7,0,1500])\n",
    "plt.legend()\n",
    "plt.title('Variogram')\n",
    "plt.xlabel('h')\n",
    "\n",
    "plt.savefig('tmp.png',pad_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yoOgAewv3klyYTGVLJQATfSeydvJaFocvZlbQLNmqRQhxVZLYhNUYtZHMqkz2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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1dacddc99e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v1 = geo.Variogram( 0.5, 200, typ='spherical' , nugget=0)\n",
    "v2 = geo.Variogram( 0.1, 400, typ='gaussian' , nugget=0)\n",
    "\n",
    "# Superposes the plot of the two curves for manual fitting\n",
    "hplot = np.arange(0.0001,0.7,0.01)\n",
    "\n",
    "plt.figure(figsize=(7,5))\n",
    "plt.plot(hplot,v1(hplot),label='v1=sph(0.5,200)')\n",
    "plt.plot(hplot,v2(hplot),label='v2=gau(0.1,400)')\n",
    "plt.plot(hplot,v1(hplot)+v2(hplot),label='v1+v2')\n",
    "plt.grid()\n",
    "plt.axis([0,0.7,0,800])\n",
    "plt.legend()\n",
    "plt.title('Variogram')\n",
    "plt.xlabel('h')\n",
    "\n",
    "plt.savefig('tmp.png',pad_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Maximum de vraissemblance\n",
    "\n",
    "Dans cette partie, on essaie d'ajuster le modèle par maximum de vraissemblance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gymtZfSeQ8h7OL9CBf/lKz//bQi0sLvnJ64GU1Rs1yQssVy9+Y095jUZV/+78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\n0ibNYgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c197dc5d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.spatial.distance import pdist, squareform\n",
    "\n",
    "n = len(x)\n",
    "d = squareform(pdist(x))\n",
    "\n",
    "vm = v-np.mean(v) # Ici il y a un point discutable - j'estime la moyenne en ne prenant pas de trend\n",
    "\n",
    "# Boucle pour varier les paramètres\n",
    "sill = np.linspace(1.4,2.1,50) # Les valeurs pour la boucle\n",
    "L = np.zeros(sill.shape) # Initialise le vecteur de résultat à zéro\n",
    "\n",
    "for i,s in zip( range(len(sill)), sill):\n",
    "\n",
    "    # Calcul de la vraissemblance\n",
    "    cov = geo.Covariance(s,0.8,typ='spherical')\n",
    "    c = cov(d)\n",
    "    c1 = np.linalg.inv(c)\n",
    "    L[i] = -0.5*(n*np.log(2*np.pi) + np.log(np.linalg.det(c))\n",
    "          +np.dot(v.transpose(), np.dot(c1, v))) \n",
    "\n",
    "\n",
    "plt.plot(sill,L)\n",
    "plt.grid()\n",
    "plt.xlabel('range')\n",
    "plt.ylabel('likeliood')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(84,)"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "cov = geo.Covariance(1.7,0.8,typ='spherical')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variogram:  spherical variogram: range = 0.2, sill =0.72, nugget =0\n",
      "Acceptable mean normalized error: Q1 = -0.129049969614 <=  0.2195285199793807\n",
      "Acceptable mean squared normalized error: Q2 = 0.993119005926\n",
      "   within bounds LU = [ 0.719177747392 1.32638841054 ]\n",
      "Geometric mean square error = 0.146700070353\n",
      "Geometric mean error variance = 0.471437390208\n"
     ]
    },
    {
     "data": {
      "image/png": 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9QdLbGheaWXMNNlJGPfXRpcooVq4OlveuJIDlvSvXJNN9ahm5Y7AYp89Z1G9K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TP7+ikeNpr5eAB/DXwd6B9LcBERmVBrgflmNsfMQsB9wMrj2jwNXA9gZpUMTgHZOakpRUSy0Gjm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c199643860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-0.12904996961393336,\n",
       " 0.99311900592610947,\n",
       " 0.14670007035272559,\n",
       " 0.47143739020751185)"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Here we create a cross_validation object. The idea is to use that object to store\n",
    "# the data set and then make multiple cross validation test with different models.\n",
    "# So, we just initialize the object here. Internally, the function stores the required\n",
    "# information and precomputes some basic statistics.\n",
    "\n",
    "ctest = geo.CrossValid( x, v )\n",
    "\n",
    "print( 'Variogram: ',variomod )\n",
    "ctest( variomod )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---  exponential variogram: range = 0.35, sill =800, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.204468451667 <=  0.32025630761017426\n",
      "Model must be REJECTED:  mean squared normalized error: Q2 = 1.54235624506\n",
      "   out of bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.788025148\n",
      "Geometric mean error variance = 617.565699434\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =900, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.192778952936 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.37101938469\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.787104601\n",
      "Geometric mean error variance = 694.743478504\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1000, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.182889397119 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.23394340804\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.786367488\n",
      "Geometric mean error variance = 771.921257372\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1100, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.174380713545 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.12178604603\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.785763948\n",
      "Geometric mean error variance = 849.099036095\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1200, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.166958829269 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.02831862796\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.785260692\n",
      "Geometric mean error variance = 926.276814708\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1300, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.160410486277 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.949228718071\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784834641\n",
      "Geometric mean error variance = 1003.45459324\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1400, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.154576760134 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.881435838452\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784469295\n",
      "Geometric mean error variance = 1080.6323717\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1500, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.149336466339 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.822680868281\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784152544\n",
      "Geometric mean error variance = 1157.81015011\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1600, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.144595367903 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.7712694001\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783875295\n",
      "Geometric mean error variance = 1234.98792848\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1700, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.140278930198 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.725905666152\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783630594\n",
      "Geometric mean error variance = 1312.16570681\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1800, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.136327322689 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.685581816773\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783413027\n",
      "Geometric mean error variance = 1389.34348511\n",
      " \n"
     ]
    }
   ],
   "source": [
    "test = range(800,1900,100)\n",
    "Q1_test, Q12_test, Q2_test, Cr_test, gM_test = [], [], [], [], []\n",
    "for i in range(len(test)):\n",
    "    vario = geo.Variogram( 0.35, test[i], typ='exponential' , nugget=0.1)\n",
    "    print('--- ',vario)\n",
    "    Q1,Q2,gM,Cr = ctest( vario, makeplot=False)\n",
    "    Q1_test.append(Q1)\n",
    "    Q12_test.append((Q2-1.0)**2)\n",
    "    Q2_test.append(Q2)\n",
    "    Cr_test.append(Cr)\n",
    "    gM_test.append(gM)\n",
    "    print(' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
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DVwE9gdvMrOcph20HxgNvV/Etjjvn+vr/XFOjYWvQyOQ4AOZv1NR6IlI9Ar1S\n/SgwzzmXBMzzb1flaWDsqTudc0O/fnMGlgJ/CzCP1CPzs/MZ9dxCFmws4LHv9eD1uwbQNjrK61gi\nDd0AYLNzLsc5VwK8A4yufIBzbptzbhXg8yJgbejRrhltmkdqXLWIVJtAS/VoYLr/8XTg2qoOcs7N\nAw6f7puYWTPgEkBXqoNAcWk5/zNnLeNfXUGrxhHMvn8IE4Z2JURTW4nUhg7Ajkrbef59ZyvKzDLN\nLMPMqnzPrw/MjJHJcSzcuI/S8gb7u4OI1KJAS3Ub59xuAP/XuPP8PtdRccX7UIB5pI5bt+sQ1/xp\nEa8t2cadQzoz+/4h9GjX3OtYIsGkqt9e3TmcH++cSwVuB541s25VvojZRH/5ziwoqJtDLEYkx3H4\nRBlZuUVeRxGRBuCMs3+Y2VygbRVP/aIac9wGvHyGHBOBiQDx8fHV+NJSG3w+xyuLtvL0x9lENw5n\n+l0DGN491utYIsEoD+hUabsjsOtsT3bO7fJ/zTGz+UA/YEsVx00FpgKkpqaeS2mvNUMSYwgPNeZn\nF2jKThEJ2BlLtXPustM9Z2Z7zaydc263mbUDznlwmpnFUDHG77oz5Kjzb9BStT0Hi3lw5koWby7k\n8p5tmHz9hcQ0jfQ6lkiwWgEkmVkXYCdwKxVXnc/IfzP6MefcCTNrDQwBnqqxpDWsWVQ4F3duxfzs\nfB69KsXrOCJSzwU6/GMOMM7/eBww+zy+x03AP51zmteoAfpg9W6ufHYBX+Qe4LfXX8jUsf1VqEU8\n5JwrA+4HPgbWAzOcc2vN7AkzuwbAzC42szwq3p+nmNla/+k9gEwz+wpIByY759bV/j9F9RmRHMuG\nPYfZdeC411FEpJ4LdPGXycAMM7ubiimYbgIws1RgknNugn97IZACNPW/Ud/tnPvY/z1u9X8faUCO\nnCjjf+asZVZWHr07RvPsLX3pGtvU61giAjjnPgA+OGXf45Uer6BiWMip5y0BLqzxgLVoZHIcv/lg\nA/OzC7h9oIYWisj5C6hUO+cKgUur2J8JTKi0PfRbvseIQDJI3ZOVW8RP3l1JXtEx7h+ZyH9elkR4\nqNYZEpG6JzGuKR1aNCI9O1+lWkQCoqYj1aas3Mczn27k5ilLKfc53pk4iJ9dmaxCLSJ1lpkxMiWW\nBRsL+MO8jZoJRETOm9qOVIvcwqPcNGUpz83bxDV92vPhj4cyoEsrr2OJiJxRp5aNOVHm45lPN3HH\nyxkq1iJyXgIdUy1BzjnHrKw8/mfOWkJCjD/c1o9r+rT3OpaIyFk7UVYOVEzWXVrmIyOnkP4JLb0N\nJSL1jq5Uy3k7cKyE+97+god4BhJmAAAgAElEQVRmraJXh2g++vEwFWoRqXeGJMYSHlqxJk5IiGnO\nahE5L7pSLecsK7eId1dsZ+66fA4Vl/LIqBQmDutKqJYZF5F6qH9CS/5yTxr3vf0F5T7HBe21yquI\nnDtdqZZzsnxrITdPWcqMzDyKjpXw2+su5IcjuqlQi0i9ltq5Fb+/uS/7jpTwxtJcr+OISD2kUi1n\nrfDICR6c8RXlvooFLUMM8o+c8DiViEj1GJLYmmHdY/lT+mYOHiv1Oo6I1DMq1XJW1u46yDV/Wszu\nQ8WEhxqhBuFhIRp7KCINyqOjUjhUXMqf52/2OoqI1DMaUy1n9M9Vu3ho5iqiG4Xz10mDKfM5MnIK\nSesaozvkRaRB6dm+Odf168CrS7bxg8Gd6dCikdeRRKSe0JVqOS2fz/H0xxu4/+0v6dm+OXMeGEKf\nTi3on9CS+0YmqlCLSIP04BXJAPzuk2yPk4hIfaJSLVU6VFzKPa9n8nz6Fm69uBNv3zOQuGZRXscS\nEalxHVo04s7BnXnvy52s23XI6zgiUk+oVMu/2VJwhGufX8znGwv45egL+O31FxIZFup1LBGRWvMf\nIxJpHhXOkx9t8DqKiNQTKtXyDenZ+Vz7/GIOHCvljbsHMnZQZ8w0XZ6IBJfoxuHcPzKRzzcWsHjz\nPq/jiEg9oFItQMVy4y/M38Jdr62gU8vGzLl/CIO6aWYPEQleYwcl0KFFI3774Xp8/qlERUROR6Va\nOF5Szo/eWcmTH23guxe2Y9YPB9GxZWOvY4mIeCoqPJSfXdmdNTsP8Y9Vu7yOIyJ1nEp1kMsrOsaN\nLy6pmDbvymT+dFs/GkdopkUREYDRfTrQs11znv44mxNl5V7HEZE6TKU6iC3LKeSaPy1me+ExXhmX\nyn0jEzV+WkSkkpAQ4+ffTSGv6LiWLxeRbxVQqTazVmb2qZlt8n+tcuJiM/vIzA6Y2T9P2X+pmX1h\nZivNbJGZJQaSR86Oc443MnK54+VltGgUzt/vH8IlKW28jiUiUicNTYplaFLriuXLj2v5chGpWqBX\nqh8F5jnnkoB5/u2qPA2MrWL/C8Adzrm+wNvAYwHmkTMoKfPxX++t5v/9fQ1Dk1rz3n1D6Bbb1OtY\nIiJ12iOjUjh4vJQX5m/xOoqI1FGBlurRwHT/4+nAtVUd5JybBxyu6imguf9xNKA7QWpQweET3P5S\nBn9ZvoP/GNGNl8ddTHSjcK9jiYjUeb06RHNt3w68ungruw4c9zqOiNRBgZbqNs653QD+r3HneP4E\n4AMzy6PiSvbkAPPIaazKO8A1f1rEml0H+eNt/Xh4VAqhIRo/LSJyth68ojvOwTOfbvQ6iojUQWcs\n1WY218zWVPFndDW8/k+A7zrnOgKvAr//lhwTzSzTzDILCgqq4aWDx3tf5nHTi0sJMWPWpMF8v097\nryOJiMfMbJSZZZvZZjP7t6F7ZjbMf89LmZndeMpz4/z30mwys3G1l9pbHVs2ZtzgBGZ9kceGPVq+\nXES+6Yyl2jl3mXOuVxV/ZgN7zawdgP9r/tm+sJnFAn2cc8v8u94FBn9LjqnOuVTnXGpsbOzZvkxQ\nK/c5fvPBen7y7lf06dSCOfcPoVeHaK9jiYjHzCwUeB64CugJ3GZmPU85bDswnor7XSqf2wr4b2Ag\nMAD479PdpN4Q3TcykWaRYTz5oZYvF5FvCnT4xxzg66sU44DZ53BuERBtZt3925cD6wPMI34Hj5Uy\n/tXlTF2Qww8GJfDWhIHENI30OpaI1A0DgM3OuRznXAnwDhX3yJzknNvmnFsF+E4590rgU+fcfudc\nEfApMKo2QtcFLRpHcN/IRNKzC1iyRcuXi8i/BFqqJwOXm9kmKkrxZAAzSzWzl78+yMwWAjOBS80s\nz8yudM6VAfcAfzWzr6gYU/1QgHkE2Lj3MNc8v4iMnEJ+e/2FPDG6F+GhmpJcRE7qAOyotJ3n31fT\n5zYI4wZ3pn10FJM/3KDly0XqielLtvGHeZvIyi2qsdcIaOk851whcGkV+zOpuAnx6+2hpzn/PeC9\nQDLIN32ydg8/eXcljSLC+Ms9aaR2buV1JBGpe6q6S/ls2+FZnWtmE4GJAPHx8WefrB6ICg/lwSuS\neXDmV/xz9W6u0X0qInXWl9uLeHz2GlbvPIQBf56/mbcmpNE/ofpHrenyZQPh8zmem7uJiW9k0S2u\nKf94YIgKtYicTh7QqdJ2R85+StOzOreh3wdzbb8OpLRtxtMfb9Dy5SJ1UPaew9zzeibX/XkJW/KP\nYlT89l9a5iMjp7BGXlOlugFYvHkfVz67gGfmbuS6fh2Yce8g2kU38jqWiNRdK4AkM+tiZhHArVTc\nI3M2PgauMLOW/hsUr/DvCyqhIcbPv9uDHfuP81bGdq/jiIjf9sJj/OTdlYx6bgEZWwp58PLuvDQu\nlcjwEEINwsNCSOsaUyOvHdDwD/HeZxv2cvdrmTggLMQYMzCeqPBQr2OJSB3mnCszs/upKMOhwDTn\n3FozewLIdM7NMbOLqRie1xL4vpn9r3PuAufcfjP7JRXFHOAJ59x+T/5BPDYsqTVDEmP442ebuDG1\nI82jtJiWiFf2Hirmj59t4p3lOwgLNSYO68oPh3ejReMIAN6akEZGTiFpXWNqZOgHqFTXa7sPHufB\nmV+dHMzonCNj6376a9iHiJyBc+4D4INT9j1e6fEKKoZ2VHXuNGBajQasB8yMn1/Vg6v/uIgX52/h\n4VEpXkcSCToHjpXwwudbmL5kG2XljlsHdOKBS5Jo0zzqG8f1T2hZY2X6ayrV9dS2fUe54+VlFJf4\niAgNodznq9GPNERE5N/16hDN6L7tmbZ4Kz8Y1Jm20VFnPklEAnb0RBnTFm1l6oIcjpSUcW3fDvzk\nsu7ExzT2LJNKdT2UvecwY15ZRlm5jxn3DqKk3FfjH2mIiEjVfnZFMh+u3sMzn27kyRt7ex1HpEEr\nLi3n7WXbeT59M4VHS7iiZxsevCKZ5LbNvI6mUl3ffLXjAONeXU5EaAgz7h1EUpuK/4hUpkVEvNGp\nVWPGDkrg1cVbuXtoF7q38f6Hu0hDU1bu429f7OTZuRvZdbCYwd1ieOjKZPrF153+o9k/6pGlWwq5\n/aUMmkWFMWvS4JOFWkREvHX/yESaaPlykWrn8zneX7WbK55dwMN/XUVs8yjemjCQt+9Jq1OFGnSl\nut5I35DPpDez6NSqMW/ePVDj9kRE6pCWTSL4jxGJPPnRhpPD8UTk/Dnn+HxjAf/3STZrdh4iKa4p\nU8b254qebTCrag0q7+lKdT3wj692cc/rmXRv04wZ9w5SoRYRqYPuHNKZdtFR/PaD9Tin5ctFzlfm\ntv3cMiWD8a+u4ODxUn5/cx8++vEwrrygbZ0t1KAr1XXeO8u38/P3VpOa0JJXxl+seVBFROqoqPBQ\nfnp5dx6atYr3V+/m6t5avlzkXKzddZD/+zib9OwCYptF8svRF3DLxfFEhNWPa8Aq1XXYywtz+NX7\n6xnePZYXx/SnUYQWdRERqcuuv6gjryzaytMfZ3NFz7b1pgyIeGnrvqP8/tON/OOrXUQ3CueRUSmM\nG5xA44j6VVPrV9og4Zzj2bmbeG7eJq7q1Zbnbu2nN2YRkXogNMR45KoU7nx1BW8vy2X8kC5eRxKp\nk7Jyi/h03R625B/hs+wCIsNCuH9kIvcM60p0o/r5qbxKdR3jnONX76/nlUVbubF/RyZffyFhoSrU\nIiL1xYjusQzqGsMfPtvMDf070kzD9kS+Yd76vUx8I4tyX8W9B9+9sC3/e00vYptFepwsMGprdUi5\nz/HoX1fzyqKtjB/cmadu6K1CLSJSz5gZP/9uCvuPljB1QY7XcUTqjH1HTvCbD9Zzb6VCHWJwQfvo\nel+oQVeq64ySMh8/mbGS91ft5oFLEvnp5d3r9B2uIiJyer07tuD7fdrz0sIcxqQl0Ka5Zm2S4LX/\naAlTFmzh9SW5nCgrZ2hSazJy9lNW7iM8LKTBTEGpUl0HFJeWM+nNLOZnF/Bf301h4rBuXkcSEZEA\nPXRFMh+t2c2zczfy2+u1fLkEn6KjJby0MIfpS7ZxrLSc0X3a88ClSXSLbUpWbtHJOd0byqrQKtUe\nO1xcyoTpmSzftp/fXHchtw+M9zqSiIhUg/iYxoxJS2D6km3cNaSLVsGVoHHgWAkvL9zKa0u2cbSk\njKt7t+c/L00kMe5f/w/0T2jZYMr01wIasGtmrczsUzPb5P9a5d+OmX1kZgfM7J+n7L/EzL4wszVm\nNt3MgqrkFx0t4Y6Xl5GZW8Szt/RVoRYRaWAeuCSJJhFhPPlRttdRRGrcweOl/P7TjQx9Mp0/pW9m\nePdYPv7xMP54W79vFOqGKtC74B4F5jnnkoB5/u2qPA2MrbzDzEKA6cCtzrleQC4wLsA89Ub+oWJu\nmbqUDXsOM2VMf0b37eB1JBERqWatmkQwaUQ35q7fy/Kt+72OI1IjDhWX8uzcjXznyc/4w7xNfCep\nNR/9eCjP33ER3YPoE5pAS/VoKoox/q/XVnWQc24ecPiU3THACefcRv/2p8ANAeapF3bsP8ZNU5aS\nV3Sc18ZfzGU923gdSUREashdQ7rQtnkUv9Hy5dLAHC4u5Y/zNvGdyZ/x7NxNDOoaw/s/+g4vjOlP\nStvmXserdYEOt2jjnNsN4JzbbWZx53DuPiDczFKdc5nAjUCn0x1sZhOBiQDx8fV3mMTm/COMeXkZ\nx0vLeWvCQPrFN6zxRCIi8k2NIiqWL3/4r6v4cM0evnthO68jiQTkyIkypi/ZxksLczhwrJTLesTx\n48u606tDtNfRPHXGUm1mc4G2VTz1i0Be2DnnzOxW4BkziwQ+Acq+5fipwFSA1NTUevmr/pqdB/nB\ntOWEmPHOxDR6tAu+3+JERILRDf078vKiHJ76aAOX92xDuNYgkHro6IkyXl+ay9QFWyg6VsolKXH8\n+LIkends4XW0OuGMpdo5d9npnjOzvWbWzn+Vuh2Qfy4v7pxbCgz1f68rgO7ncn59krltP3e+uoLm\njcJ5c8JAurRu4nUkERGpJaEhxqNXpXDXa5n8Zfl2fjCos9eRRM7asZIy3szI5cXPc9h/tITh3WP5\nyeXd6dtJZbqyQId/zKHi5sLJ/q+zz+VkM4tzzuX7r1Q/Avw6wDx10oKNBdz7RhZto6N4c8JAOrRo\n5HUkERGpZSOT4xjYpRXPzd3E9Rd1pGlkUE14JfXQ8ZJy3lqWy4ufb2HfkRKGJrXmx5d1b3BT4VWX\nQD9/mgxcbmabgMv925hZqpm9/PVBZrYQmAlcamZ5Znal/6mHzGw9sAr4h3PuswDz1DkfrdnDhOmZ\nJMQ0Zsa9g1SoRUSCVMXy5T0oPFrCPa9nkpVb5HUkkSoVl5YzbdFWhj2dzq/eX09y22bMmjSIN+4e\nqEL9LQL6Ndk5VwhcWsX+TGBCpe2hpzn/IeChQDLUZX/NyuPhv66id8doXhs/gOjG4V5HEhEBwMxG\nAc8BocDLzrnJpzwfCbwO9AcKgVucc9vMrDOwHvh64uUM59yk2spd35X7HCEGS7cUcuvUpbwzcZBK\nitQJWblFLNpUwOHiMuZ8tYv8wycY1DWG52+/iAFdWnkdr17QZ081ICu3iBfmb2bu+nyGJMYwdWwq\nTfQxn4jUEWYWCjxPxSeMecAKM5vjnFtX6bC7gSLnXKL/pvIngVv8z21xzvWt1dANREZO4cnHpeWO\n59M3M238xR4mEoElm/fxg2nLKfNVzAPRo10znru1H4O6xXicrH7R7cfVLCu3iFumLGXu+nxCDO4f\nmahCLSJ1zQBgs3MuxzlXArxDxboDlVVeh2AWFcP3rBYzNkhpXWOICAsh1CDE4LMN+fz6/XX4fPVy\nUiup5/YdOcHvP8nmrukrThbqEIOre7dToT4PanvV7LXFW0/+h2nAF9sPMKhba29DiYh8UwdgR6Xt\nPGDg6Y5xzpWZ2UEqFu0C6GJmXwKHgMeccwtPfYGGsrZAdeuf0JK3JqSRkVPIgC6t+OdXu3hp4VZ2\nHyzmdzf3ITIs1OuIEgS2Fx7jpYU5zMjcwYkyHwM6t2Rl3kHKy32Eh4WQ1lW95XyoVFejJVv28eGa\nPZhVfARQ8R+mftMTkTqnqivOp14qPd0xu4F451yhmfUH/m5mFzjnDn3jwAawtkBN6Z/Q8uQ46tSE\nlrRv0YjffriBgsMnmDo2VfffSI1ZnXeQKQu28MHq3YSFhHBdvw7cM6wriXFNycotIiOnkLSuMRrn\nf55UqqvJul2HuPf1LLrGNuGx7/Zk9a6D+g9TROqqPL65gm1HYNdpjskzszAgGtjvKtbZPgHgnMsy\nsy1UrDGQWeOpGyAz497h3WgbHcXPZn7FjS8u4bW7BmimKKk2zjkWbd7Hi59vYfHmQppFhjFxWDfu\nHNKZNs2jTh5X+Zc9OT8q1dVgx/5jjH91OU2jwnjtzgG0b9GIYcmxXscSETmdFUCSmXUBdgK3Aref\ncszX6xAsBW4EPvOvhBtLRbkuN7OuQBKQU3vRG6bRfTsQ2yySe9/I4rrnF/PqnRdzQfvgXvJZAlNW\n7uP91buZ8nkO63YfIq5ZJD+/KoXbBsbTPEqfhtQEleoA7T9awrhXl1NcWs6sHw6mva4uiEgd5x8j\nfT/wMRVT6k1zzq01syeATOfcHOAV4A0z2wzsp6J4AwwDnjCzMqAcmOSc21/7/xQNz+BurZk1aTDj\nX13OLVMyeGHMRQxN0gUaOTfHSsqYmZnHSwtzyCs6TrfYJjx1Q29G92uvMfs1zCo+yatfUlNTXWam\n9580Hisp4/aXlrFu9yHevHug5nEUkTMysyznXKrXOWpTXXnPri/2HCxm/KvL2Zx/hCdv6M0N/Tt6\nHUnqgf1HS5i+ZBuvL91G0bFS+ie0ZNLwblyaEkdIiCbuOV/n8p6tK9XnqazcxwNvf8mqvAP8+Y7+\nKtQiIlIt2kZHMWPSICa9kcWDM79i98Hj3DcyEc1oKFXZsf8YLy/M4d3MHRSX+risRxsmDe9Kamf1\nktqmUn0enHP84r01zNuQz6+u7cWoXm29jiQiIg1I86hwXrtzAA/P+or/+2Qjuw4W88Q1FxAWquUl\npMKanQeZsiCH91ftIjTEuLZvB+4d3pXEuGZeRwtaKtXn4ZlPN/Ju5g4euCSRMWkJXscREZEGKCIs\nhGdu6Uv7Fo348/wt7D1YzB9v70fjCP3oDlbOORZvLmTKgi0s3LSPppFh3DO0K3cO6ULb6KgzfwOp\nUfo/8xy9kZHLHz7bzM2pHfnp5d29jiMiIg2YmfHwqBTatWjEf89ew21TM3hl/MW0bhrpdTSpRWXl\nPj5cs4cpC7awZuchYptF8sioFG4fGE90I83kUVeoVJ+Dj9bs4fHZa7g0JY7fXHehxreJiEitGJuW\nQNvmUTzwly+4/s9LmH7XALq0buJ1LKlhSzbvY9rirazOO8jewyfoGtuEJ2+4kGv7ddBMHnWQSvVZ\nWrFtPz9650v6dmrBn26/SOPaRESkVl3esw1v35PGhOmZXP/nxbwy/mIuitdiHQ3Rxr2H+eO8Tfxj\n1W4AzODhUclMGtZNM3nUYWqGZ2Hj3sPc/doKOrZoxCvjLqZRhH47FBGR2ndRfEv++sPBNG8Uzu0v\nZfDJ2j1eR5Jqcri4lLeXbefa5xdzxTMLeH/17pPPhQDOoUJdx6lUn8GuA8cZN205keGhTL9rAK2a\nRHgdSUREgliX1k346w8Hk9y2OZPezOKNpdu8jiTnyTnHspxCfjpjJRf/ei7/9d5qjpWU8dj3evDK\nuFSiwkMINQgPCyGta4zXceUMNPzjWxw8Vsq4acs5UlzGu/cOolOrxl5HEhERoXXTSP5yz0B+9Jcv\n+X+z17LzQDEPX5msK5n1xJ6Dxfz1izxmZu5gW+ExmkWGcf1FHbk5tRN9OkafvGfrrQlpZOQUktY1\nhv4JGupT1wVUqs2sFfAu0BnYBtzsnCs65Zi+wAtAcyqWtP21c+5d/3NdgHeAVsAXwFjnXEkgmapL\ncWk597yeSW7hMV6762J6tm/udSQREZGTGkeE8eKY/jw+Zy0vfr6F3QeP89SNvXUDWx1VUubjsw17\nmZGZx/zsfHwOBnZpxY8uTeKqXu2qHFraP6GlynQ9EuiV6keBec65yWb2qH/7kVOOOQb8wDm3ycza\nA1lm9rFz7gDwJPCMc+4dM3sRuJuKAu6pcp/jP9/5kuXb9vPH2/oxuFtrryOJiIj8m7DQEH59bS86\ntGjE0x9nk3/oBC+O7a9p1uqQTXsP8+6KHbz35U4Kj5bQpnkkPxzRjZv6d6KzZnBpUAIt1aOBEf7H\n04H5nFKqnXMbKz3eZWb5QKyZHQQuAW6vdP7/4HGpds7x+Ow1fLx2L49f3ZPv92nvZRwREZFvZWbc\nNzKRdtFRPDxrFTe/uJTX7rqYdtGNvI4WtA4Xl/LPVbt5d8UOVu44QFiIcVmPNtxycSeGJrXWDGIN\nVKCluo1zbjeAc263mcV928FmNgCIALYAMcAB51yZ/+k8oEOAeQL2p88289ay7dw7vCt3faeL13FE\nRETOyvUXdSSuWRST3sziuueX8NpdF5PSVkMXa4tzjuVb9zMjM48PVu/meGk5SXFNeex7PbiuXwdi\ntGBPg3fGUm1mc4G2VTz1i3N5ITNrB7wBjHPO+azqlVPct5w/EZgIEB8ffy4vfdZmrNjB7z7dyPX9\nOvDIlSk18hoiIiI15TtJrZlx7yDufG05N72wlClj+zM4UUMYa9LeQ8XMyvrXTYdNI8O4tl8Hbk7t\nSN9OLbRQXBA5Y6l2zl12uufMbK+ZtfNfpW4H5J/muObA+8BjzrkM/+59QAszC/Nfre4I7PqWHFOB\nqQCpqamnLd/na976vfz8vdUMTWrNkzf21h3UIiJSL/Vs35y//ccQxk9bzrhXl3PfyETCQ0M0g0Q1\nyMotIiOnkNSElhQdK2VG5o6TNx0O6NKKBy5J4qoL29I4QpOrBaNA/63PAcYBk/1fZ596gJlFAO8B\nrzvnZn693znnzCwduJGKGUCqPL82fLG9iPve/oKe7Zrzwpj+hGusk4iI1GMdWjRi1qTB3PbSUp6d\nuwmAiFDj9bsHkNZVV67PR+a2/dz+8jJKy3wnP1aPaxbJpOHduCm1k5aNl4BL9WRghpndDWwHbgIw\ns1RgknNuAnAzMAyIMbPx/vPGO+dWUnFT4ztm9ivgS+CVAPOcs835R7jrtRW0aR7FtPEX0zRSv12K\niEj9F904nFG92rJu92EASsodP3hlBZdf0IYrerZhRHKcZgn5Fs45Nu49wtIt+1iaU8jnGwsoKfOd\nfP6Gizrw5A29ddOhnBRQg3TOFQKXVrE/E5jgf/wm8OZpzs8BBgSSIRB7DxUzbtpywkKM1+8aQGwz\n3UQgIiINx5DEWP48fwulZT5CQoxh3VuzLKeQ91ftJizEGNQthst7tuHynm2CfrYQ5xw5+46ydEsh\nS7cUkpFTSOHRiqUzOrRoxKCuMSzavA+fzxEeFsLtAxNUqOUbgvay7KHiUsa/uoKiYyW8MzGNhBh9\nbCMiIg1L/4SW/7YqX7nPsXJHEZ+s28una/fy+Oy1PD57LRd2iOaKnm24/II2JLdp1uBvsHPOsX3/\nsYoSnVNRpPMPnwCgbfMohnWPZVDXGAZ1izm5ovLXY6o1Pl2qYs5V+z1/NS41NdVlZmae9/knysoZ\nP20FK7bt55XxFzO8e2w1phMROT0zy3LOpXqdozYF+p4tNWtz/hE+WbeHT9buZeWOAwDEt2pcUbB7\ntiG1cytCG8jN+3lF/yrRGVsK2XWwGKhY9n1Qt5iTJbpzTOMG/0uFnJ1zec8OuivVPp/jpzO+YmlO\nIb+/uY8KtYiIBLXEuKYkxiXyHyMSyT9UzKfr9/Lpur28vjSXlxdtpVWTCC5JieOKnm0YmhRb5XLa\nddXeQ8Us3VLIEv+46B37/z979x1eVZX1cfy70uiGqtIhVAERSYQoKnZRR7GLFRXFrqPvzKjjjDo6\nzlhmLCgWVKwUK4qKAg4KikbpvcXQO4QqLWW9f9wDk4kJEEhycpPf53ny5Nx99rlZOzc5d91zdtkO\nQO1qCaQm1eaWIIluUa+6kmg5aBUqqXZ3Hv1iNl9MX8n9Z7Xlws6Nwg5JRCQUZtYDeA6IBV5z98fz\n7a8EvA0kA+uBy9x9UbDvfqAPkAPc6e4jSzF0KUGHHlKZK7s25cquTdm6M5ux89YyavYqRs5axYeT\nllE5PoYTWtXj9HaHcWrbQ8vcgiZrt+wkLeO/V6Iz1v0KwCGV4+iaVIfrjmvOcS3r0PrQGpo6V4pd\nhUqqB4zL4I3xi7i+W3P6npgUdjgiIqEws1igP3A6kdVsJ5jZcHefnadaH2CDu7c0s17AE8BlZtYO\n6AW0BxoAX5tZa3fPKd1WSEmrXimOczrW55yO9cnKyeXnhZmMmrUq0hd79mpiDFKa1uaM9pFuIiU9\nNikn19mRlcP2rBy278phR1YOU5ZsYHz6enbl5JK+ZisL1mzdE3uX5rW5vEsTjm1RhyPqH1JuurBI\n2VVhkuqnR82j35h0urWow1/OOUK3eUSkIusCpAczMGFmQ4GeQN6kuifwcLD9IfBCsBJuT2Cou+8E\nFppZevB8P5ZS7BKC+NgYurWsS7eWdXn4vPbMWrF5T4L99y/m8Pcv5tDmsBqc3u4wGtSswrxVW2hz\neA2a1qnK9l1BIpwVSYT/5/Ge7dygPDv4nvubunmnsytIp8Y1ubdHW45tUYcODQ7RzBxS6ipEUv3p\nlOX0G5MOwKQlG5iydKNG7YpIRdYQWJrn8TKga2F13D3bzDYBdYLytHzHNiy5UKWsMTM6NEykQ8NE\n7jmjDUsztzFq9mpGzVpF/2/S2d/pDyrFxVAlIZYq8ZGvyvGxVEmIpWpCHLWrxQb7YiL7gnpVE/5b\nd9yCtXw+bSUOxBqc3u4wbjmpRUk2XWSvKkRSvWzjNgxwICs7l7SM9UqqRaQiK+hWXf5cqLA6+3Ms\nZtYX6AvQpEmTosYnUVLNg+sAACAASURBVKRx7ar0Ob45fY5vzr9GztuTWMcYXHZME67o0oQqCTGR\npDlInCvHxR50n+aketUZPXs1Wdm5xMdFlmEXCVOFSKpTk+pSKT5d/3giIhHLgMZ5HjcCVhRSZ5mZ\nxQGJQOZ+Hou7DwAGQGRKvWKLXMq0k9seymvfZ+x5v704uRFHNkoskZ9V0BzcImGqEEm1/vFERP7H\nBKCVmTUHlhMZeHhFvjrDgd5E+kpfDIxxdzez4cBgM3uayEDFVsDPpRa5lGml/X6b3LSW3tOlzKgQ\nSTXoH09EZLegj/TtwEgiU+oNdPdZZvYIMNHdhwOvA+8EAxEziSTeBPXeJzKoMRu4TTN/SF56v5WK\nqsIk1SIi8l/uPgIYka/swTzbO4BLCjn2MeCxEg1QRCTKaL4ZEREREZGDpKRaREREROQgKakWERER\nETlISqpFRERERA6SuUff9KFmthZYfACH1gXWFXM4ZYXaFr3Kc/vUtt9q6u71ijuYskzn7AKV57ZB\n+W6f2ha9DqR9+33Ojsqk+kCZ2UR3Twk7jpKgtkWv8tw+tU0ORnn+HZfntkH5bp/aFr1Kun3q/iEi\nIiIicpCUVIuIiIiIHKSKllQPCDuAEqS2Ra/y3D61TQ5Gef4dl+e2Qflun9oWvUq0fRWqT7WIiIiI\nSEmoaFeqRURERESKXblKqs3sbjObZWYzzWyImVU2s+Zm9pOZLTCz98wsIahbKXicHuxvFm70v2Vm\nA81sjZnNzFNW28xGB+0ZbWa1gnIzs35Be6abWec8x/QO6i8ws95htCW/Qtr2lJnNDeIfZmY18+y7\nP2jbPDM7M095j6As3czuK+12FKSgtuXZ9wczczOrGzyOqtcNCm+fmd0RvBazzOzJPOVR/dqZWScz\nSzOzqWY20cy6BOVR99qVNTpnR8/fj87ZOmdHy2sX6jnb3cvFF9AQWAhUCR6/D1wbfO8VlL0M3BJs\n3wq8HGz3At4Luw0FtOlEoDMwM0/Zk8B9wfZ9wBPB9tnAl4ABqcBPQXltICP4XivYrlVG23YGEBds\nP5Gnbe2AaUAloDnwCxAbfP0CJAEJQZ12ZbFtQXljYCSR+XrrRuPrtpfX7mTga6BS8PjQ8vLaAaOA\ns/K8Xt9G62tXlr7QOTuq/n4KaZvO2WX8ddvLa6dzdgm8duXqSjUQB1QxszigKrASOAX4MNj/FnB+\nsN0zeEyw/1Qzs1KMdZ/cfRyQma84b9z52/O2R6QBNc2sPnAmMNrdM919AzAa6FHy0e9dQW1z91Hu\nnh08TAMaBds9gaHuvtPdFwLpQJfgK93dM9x9FzA0qBuqQl43gGeAPwF5BzJE1esGhbbvFuBxd98Z\n1FkTlJeH186BQ4LtRGBFsB11r10ZpHN2lPz96Jy9R1S9bqBzNqV4zi43SbW7Lwf+BSwhcmLeBEwC\nNub5p19G5OoIwfelwbHZQf06pRnzATrM3VcCBN8PDcr3tCewu62FlZd11xP5RAnloG1mdh6w3N2n\n5dsV9W0LtAZOCG7LjzWzY4Ly8tC+3wNPmdlSIueY+4Py8tC20OicXe7+fnTOjpK2BXTOLoG2lZuk\nOuin1pPI7YoGQDXgrAKq7v7EWdAVjmieCqWw9kRdO83sASAbGLS7qIBqUdM2M6sKPAA8WNDuAsqi\npm15xBG5bZYK/BF4P7iKWB7adwtwt7s3Bu4GXg/Ky0PbQqNzdvn5+9E5O3ralofO2RHF2rZyk1QD\npwEL3X2tu2cBHwPHEbm8HxfUacR/bwMsI9JfimB/IgXf/ilrVge3Kwi+775ls6c9gd1tLay8TAoG\nCPwOuNKDzk5Ef9taEEkcppnZIiJxTjazw4n+tu22DPg4uK32M5AL1KV8tK83kfMJwAdEboNC+Whb\nmHTOLgd/PzpnR13bdtM5uwTaVp6S6iVAqplVDT5tnQrMBr4BLg7q9AY+DbaHB48J9o/Jc0Ioy/LG\nnb891wSjW1OBTcGtxpHAGWZWK7gydEZQVuaYWQ/gXuA8d9+WZ9dwoJdFRv83B1oBPwMTgFYWmS0g\ngcjgpeGlHfe+uPsMdz/U3Zu5ezMi/8Cd3X0V5eB1C3xCpC8sZtaayECWdUT5axdYAXQPtk8BFgTb\n5eW1C4vO2VH+96NzdnS+bgGds0vitfMyMDK1uL6AvwFzgZnAO0RGryYR+YNIJ/KJZfdI18rB4/Rg\nf1LY8RfQniFE+hpmEfmn7kOkD+F/gj+S/wC1g7oG9CcyOncGkJLnea4P2pkOXBd2u/bStnQi/Zqm\nBl8v56n/QNC2eQSjeoPys4H5wb4Hwm5XYW3Lt38R/x1JHlWv215euwTg3eB/bzJwSnl57YDjifT1\nnQb8BCRH62tX1r50zo6evx+ds3XOjpbXLsxztlZUFBERERE5SOWp+4eIiIiISCiUVIuIiIiIHCQl\n1SIiIiIiB0lJtYiIiIjIQVJSLSIiIiJykJRUi4iIiIgcJCXVIiIiIiIHSUm1iIiIiMhBUlItkoeZ\nnWRmbmYf5ys/Kij/NqTQREQEMLMrzGyimW01s5Vm9qWZHR92XCJKqkV+ay1wnJnVyVPWm8jyrCIi\nEhIzuwd4FvgHcBjQBHgR6FlA3bjSjU4qOi1TLhWSmXUGXgdaAl8BucAC4GvgXeBzYIa79zezWGAx\nMAA4xd1PCiVoEZEKzMwSgeXAde7+QQH7HwY6ADuA84B73P21Ug1SKjRdqZYKx8wSgGHAm0BtYAhw\nQb5qbwPXBNtnArOAFaUUooiI/NaxQGUi5+/C9AQ+BGoCg0ojKJHdymVSbWaPmtl0M5tqZqPMrEEB\ndTqZ2Y9mNiuoe1mefWZmj5nZfDObY2Z3BuV/DJ5zqpnNNLMcM6sd7Ls7eK6ZZjbEzCrvI8anzGxu\n8LOHmVnN4v49SKFSgTign7tnufvHwM95K7j7D0BtM2tDJLl+u/TDFBGRPOoA69w9ey91fnT3T9w9\n1923l1ZgIlAOkupgYNmb+YqfcveO7t6JyG38Bws4dBtwjbu3B3oAz+ZJbK8FGgNt3f0IYCiAuz/l\n7p2C570fGOvumWbWELgTSHH3DkAs0GsfoY8GOrh7RyJ9de8vUsPlYDQAlvv/9n1aWkC9d4DbgZPZ\n+5UREREpeeuBuvvoK13QuVykVER9Ul0Qd9+c52E14Dcdx919vrsvCLZXAGuAesHuW4BH3D032L+m\ngB9zOZFuA7vFAVWCf/aqBF0FzCzZzMaa2SQzG2lm9YPnHJXn03Ya0OjAWisHYCXQ0MwsT1njAuq9\nA9wKjHD3baUSmYiIFOZHIv2lz99LHQ0Uk9CUy6QaIOi+sRS4koKvVOet2wVIAH4JiloAlwVT9nxp\nZq3y1a9K5Or2RwDuvhz4F7CESMK2yd1HmVk88DxwsbsnAwOBxwoI4XrgywNrqRyAH4Ec4HYzizOz\nnkCX/JXcfSHQHXiglOMTEZF83H0Tkffz/mZ2vplVNbN4MzvLzJ4MOz6RqE2qzewnM5sKvAacl6ev\n85kA7v6AuzcmMlDh9r08T30iVySv231lGqgE7HD3FOBVIslwXucC4909M3iOWkQGRzQn0rWgmpld\nBbQhMhJ5dBDrX8h3RdrMHgCy0YCKUuPuu4ALgT7ARuAqIt2EdhZQ9/vgToaIiITM3Z8G7iHyfrqW\nSHeP24FPwoxLBMrBlHpmdhJwrbtfW8j+psAXQV/n/PsOAb4F/pl3eh4zmwv0cPdFQReBje6emGf/\nMOADdx8cPL4kqN8neHwNkcFwLwED3P3YQmLrDdwMnKruBeEys5+Al939jbBjERERkegTtVeq9yZf\nd43zgLkF1Nk9rdrbBcx3+QlwSrDdnTyLfgTzZHYHPs1TfwmQGtyKMuBUYA4wD6hnZscGx8abWftg\nuwdwL3CeEurSZ2bdzezwoPtHb6AjkfmqRURERIqsvK429HgwFVoukUU7bgYwsxTgZne/AbgUOBGo\nY2bXBsdd6+5TgceBQWZ2N7AVuCHPc18AjHL3X3cXuPtPZvYhMJlIV44pRK5Q7zKzi4F+QTIeR2Ql\nqFnAC0S6mYwOxsulufvNxf+rkEK0Ad4HqhPpS3+xu68MNyQRERGJVlHf/UNEREREJGzlsvuHiIiI\niEhpUlItIiIiInKQorJPdd26db1Zs2ZhhyEiUmSTJk1a5+719l2z/NA5W0SiVVHO2VGZVDdr1oyJ\nEyeGHYaISJGZ2eKwYyhtOmeLSLQqyjlb3T9ERERERA6SkmoRkQrAzAaa2Rozm1nAvj+YmZtZ3eCx\nmVk/M0s3s+lm1jlP3d5mtiD46l2abRARKcuUVIuIVAxvAj3yF5pZY+B0IotY7XYW0Cr46ktkdVjM\nrDbwENAV6AI8ZGa1SjRqEZEooaRaRKQCcPdxQGYBu54B/gTkXbSgJ5HVZt3d04CaZlYfOBMY7e6Z\n7r4BGE0BibqISEVUpKTazHqY2bzgluB9BeyvZGbvBft/MrNmefbdH5TPM7Mz85TfbWazzGymmQ0x\ns8oH0yAREdk/ZnYesNzdp+Xb1RBYmufxsqCssHIRkQpvv5NqM4sF+hO5LdgOuNzM2uWr1gfY4O4t\niVz9eCI4th3QC2hP5KrGi2YWa2YNgTuBFHfvAMQG9YrdpMUb6P9NOpMWbyiJpxcRiSpmVhV4AHiw\noN0FlPleygt6/r5mNtHMJq5du/bAAxURKQalkQcWZUq9LkC6u2cAmNlQIrcIZ+ep0xN4ONj+EHjB\nzCwoH+ruO4GFZpYePN+SIIYqZpYFVAVWHHhzCjZ23hque3MCAAlxMQy6IZXkpuoGKCIVWgugOTAt\ncpqmETDZzLoQuQLdOE/dRkTOzcuAk/KVf1vQk7v7AGAAQEpKSoGJt4hIafhyxkpuGzwZKNk8sCjd\nP/bntt+eOu6eDWwC6hR2rLsvB/5FJLleCWxy91FFacD++GlhJrkOuQ5Z2bmkZawv7h8hIhJV3H2G\nux/q7s3cvRmR83Jnd18FDAeuCWYBSSVybl4JjATOMLNawQDFM4IyEZEyJyfXeXP8Qu4cOqVU8sCi\nJNX7c9uvSLcMg5NyTyJXSxoA1czsqgJ/+EHcSjz1iMNIiI3ZE0xq89pFOl5EJNqZ2RDgR6CNmS0z\nsz57qT4CyADSgVeBWwHcPRN4FJgQfD0SlImIlCnpa7Zw6Ss/8vBns2nfIJFKcTHEGsTHxZCaVKdE\nfmZRun8UdjuwoDrLzCwOSCQy2rywY08DFrr7WgAz+xg4Dng3/w8/mFuJyU1rMaRvKi+MWcA389Yy\neclGkpspsRaRisPdL9/H/mZ5th24rZB6A4GBxRqciEgxycrJ5ZWxv9DvP+lUrRTL05cexQVHN2Ty\nko2kZawnNalOiXUBLkpSPQFoZWbNgeVEBhReka/OcKA3kashFwNj3N3NbDgw2MyeJnJFuhXwM5AL\npAYDZrYDpwIlspZtctNaDLz2GG4dNJnHv5pLx0aJdC2hTyoiIiIiUrpmLt/EHz+czpyVmzmnY30e\nPrc99WpUAiJ5YEmPp9vv7h9BH+nbifSfmwO87+6zzOyRYFomgNeBOsFAxHuA+4JjZwHvExnU+BVw\nm7vnuPtPRAY0TgZmBPEMKJaWFcDMePLijjSpXZXbh0xhzZYdJfWjRERERKQU7MjK4fEv59Kz/3jW\nb93JK1cn0/+KznsS6tJikbt80SUlJcUnTjzwC9pzV23m/P7j6dioJoNv6EpcrNbAEZHSYWaT3D0l\n7DhK08Ges0VECvPzwkzu+2g6Get+5bKUxvz5nCNIrBJfbM9flHN2hcwm2x5+CP+44Eh+XpjJU6Pm\nhR2OiIiIiBTBlh1Z/PWTmVz6yo9k5eYy6IauPHFxx2JNqIuqKH2qy5ULOzdi0uINvDI2g85NanFm\n+8PDDklERERE9uGbeWt44OMZrNy8g+u7NecPZ7amakL4KW34EYTowXPbMWP5Jv7w/jTa3FGDZnWr\nhR2SiIiIiBRgw6+7ePTz2Xw8ZTmtDq3OR7ccR+cmZWcxvwrZ/WO3SnGx9L+iM7Gxxs3vTmL7rpyw\nQxIRERGRPNydz6ev4LSnxzJ82gruPLUVn995fJlKqKGCJ9UAjWtX5ZnLOjFv9Rb+8slMonHgpoiI\niEh5tHrzDvq+M4nbB0+hYa0qfHbH8dxzemsqxcWGHdpvVOjuH7ud3OZQ7jilFf3+s4CUZrW4vEuT\nsEMSERERqbDcnfcnLuXvX8xhV3Yufz67Ldd3a16mZ2xTUh2469RWTFmygYeGz6JDg0SObJQYdkgi\nIiIiFc6S9du47+Pp/PDLero2r80TF3WMinFvZTfdL2WxMcZzvY6mbrUEbhk0iY3bdoUdkoiIiEiF\nkZPrvP79Qs58dhzTl23isQs6MOTG1KhIqEFJ9f+oXS2B/ld2ZvXmHdzz/jRyc9W/WkRERKSkzV+9\nhYte+oFHP5/NsS3qMPqeE7mya1NiYizs0Pabkup8jm5Si7/+rh1j5q7hxW/Tww5HREREpNzalZ3L\nc18v4Jx+37EkcxvP9erE671TqJ9YJezQikx9qgtwdWpTJi7awNOj59OpcS2Ob1U37JBEREREyo1J\nizfwyZTljJu/lsWZ2zjvqAY8dG476lSvFHZoB0xXqgtgZvzzwiNpUa86dw6dwspN28MOSUTkoJjZ\nQDNbY2Yz85Q9ambTzWyqmY0yswZBuZlZPzNLD/Z3znNMbzNbEHz1DqMtIhLdfkhfx6Wv/Mg7aYtZ\nnLmN+89qS7/Lj47qhBqUVBeqWqU4XroqmZ1ZOdw2aDK7snPDDklE5GC8CfTIV/aUu3d0907A58CD\nQflZQKvgqy/wEoCZ1QYeAroCXYCHzKxsrb4gImXaj7+s59bBk8kJxq3FGmSXkzFsSqr3ouWh1Xni\n4o5MXrKRf345J+xwREQOmLuPAzLzlW3O87AasPudrSfwtkekATXNrD5wJjDa3TPdfQMwmt8m6iIi\nv7F5RxZ/HjaDy19No3JcDAmxMcQaxMfFkJpUJ+zwioX6VO/D7zo2YNLiDbwxfhGdm9Ti3KMahB2S\niEixMbPHgGuATcDJQXFDYGmeasuCssLKRUQKNWbuav788UzWbNlB3xOTuPu01sxeuZm0jPWkJtUh\nuWn5uOGlpHo/3H/WEUxfton7PprOEfVr0PLQGmGHJCJSLNz9AeABM7sfuJ1I946C5rDyvZT/hpn1\nJdJ1hCZNtEqtSEW0futOHvl8Np9OXUGbw2rw8tXJdGpcE4DkprXKTTK9m7p/7IeEuBj6X9GZyvGx\n3PzuZH7dmR12SCIixW0wcFGwvQxonGdfI2DFXsp/w90HuHuKu6fUq1evBMIVkbLK3fl06nJOf2Yc\nI2as5O7TWvPZHcfvSajLKyXV++nwxMr0u/xoMtZu5f6PZ+BePjrVi0jFZWat8jw8D5gbbA8Hrglm\nAUkFNrn7SmAkcIaZ1QoGKJ4RlImIALBy03ZueGsidw2dSuPaVfn8jhO467RWJMSV/5RT3T+KoFvL\nuvzfGW14auQ8kpvWovdxzcIOSURkv5jZEOAkoK6ZLSPSzeNsM2sD5AKLgZuD6iOAs4F0YBtwHYC7\nZ5rZo8CEoN4j7v4/gx9FpGLKzXWGTljKP0fMISs3l7+ccwTXdWtObBStiHiwlFQX0S3dWzB58Qb+\n/sVsjmyUSOcm5as/kIiUT+5+eQHFrxdS14HbCtk3EBhYjKGJSJRbtO5X7vt4OmkZmRybVIfHLzqS\npnWqhR1WqSv/1+KLWUyM8fSlnTjskMrcNmgy67fuDDskERERkVKXk+u8Oi6DHs+NY9byzTx+4ZEM\nvrFrhUyoQUn1AUmsGs/LVyWz/tdd/P69qXsmMBcRERGpCOat2sKFL47nsRFzOL5lXUbf051eXZpg\nVnG6e+SnpPoAdWiYyCPntee7Bet47uv5YYcjIiIiUuJ2ZefyzOj5/O7571i2YTvPX340r16TwuGJ\nlcMOLXTqU30QLjumMRMXb6DfmHSOblKLk9seGnZIIiIiIiVi6tKN/OnDacxfvZXzOzXgwXPbU7ta\nQthhlRm6Un0QzIxHe3bgiPqH8Pv3prI0c1vYIYmIiIgUq+27cvj757O58MXxbNmRzcBrU3i219FK\nqPNRUn2QqiTE8tKVncnNdW4dNJkdWTlhhyQiIiJSLH74ZR1nPjuO175fyBVdmzDq7hM5pe1hYYdV\nJimpLgbN6lbj35cexYzlm3jk89lhhyMiIiJyUDZtz+L+j6dzxas/EWMwtG8qfz//SGpUjg87tDJL\nfaqLyRntD+em7km8MjaD5Ca1uCi5UdghiYiIiBTZ6Nmr+csnM1i7ZSc3dU/i7tNaUzk+Nuywyjwl\n1cXoj2e0YeqSjdz/8XRmLN/EuUc1ILmpFocRERGRsm3S4g2MmbuaqUs2Mv6X9bQ9vAavXpNCx0Y1\nww4taqj7RzGKi43hxhOT2JXjvPnDIq54NY1JizeEHZaIiIhIoSYtyqTXgB/p/80vjP9lPZcf05jh\ntx+vhLqIipRUm1kPM5tnZulmdl8B+yuZ2XvB/p/MrFmeffcH5fPM7MygrI2ZTc3ztdnMfn+wjQrT\nvFVb2L3M/c7sXMbOWxNuQCIiIiKFWLFxO3/8aDpZOZGF7GIMGtWuSkKcrrsW1X7/xswsFugPnAW0\nAy43s3b5qvUBNrh7S+AZ4Ing2HZAL6A90AN40cxi3X2eu3dy905AMrANGHaQbQpValIdEuJi9iTW\nI2auYsuOrHCDEhEREckjN9d5N20xZzwzjmWZ24mLMWINEuJiSE2qE3Z4Uakofaq7AOnungFgZkOB\nnkDe6S56Ag8H2x8CL1hkvcqewFB33wksNLP04Pl+zHPsqcAv7r74QBpSViQ3rcWgG1JJy1hPjMG/\nR83n+jcn8Nb1XaiaoC7sIiIiEq6F637l3o+m8/PCTI5vWZd/Xngka7bsJC1jPalJdTQe7AAVJctr\nCCzN83gZ0LWwOu6ebWabgDpBeVq+YxvmO7YXMKQI8ZRZyU1r7fmDbFy7KncOmcKNb0/k9d7HaPSs\niIiIhCI7J5fXvl/IM6PnkxAXw5MXdeSSlEaYGY1rV1UyfZCK0mHGCijz/ayz12PNLAE4D/ig0B9u\n1tfMJprZxLVr1+5HuGXD7zo24KmLj2J8+npuHTSZXdm5YYckIhWQmQ00szVmNjNP2VNmNtfMppvZ\nMDOrmWffb8bBBOV7HVsjImXT7BWbueDFH3j8y7l0b12Pr+/pzqXHNCbSoUCKQ1GS6mVA4zyPGwEr\nCqtjZnFAIpC5H8eeBUx299WF/XB3H+DuKe6eUq9evSKEHb6Lkhvx2AUdGDN3DXcOmUJ2jhJrESl1\nbxIZ05LXaKCDu3cE5gP3Q+HjYPZzbI2IlCE7s3P496h5nPfC96zctJ3+V3TmlauTOeyQymGHVu4U\nJameALQys+bBleVewPB8dYYDvYPti4Ex7u5Bea9gdpDmQCvg5zzHXU456fpRmCu7NuXB37Xjq1mr\n+L8PppGTm/8iv4hIyXH3cUQucuQtG+Xu2cHDNCIXPCDPOBh3XwjsHgezZ2yNu+8Cdo+tEZEyaNLi\nDZzT73ueH5POeZ0aMPru7pzTsb6uTpeQ/e5THfSRvh0YCcQCA919lpk9Akx09+HA68A7wUDETCKJ\nN0G994kMaswGbnP3HAAzqwqcDtxUjO0qk64/vjk7snN48qt5VIqL4fELOxIToz9sESkTrgfeC7b3\nNg5mX2NrRCRkv+7M5l+j5vHmD4tokFiFN687hpPaHBp2WOVekaajcPcRwIh8ZQ/m2d4BXFLIsY8B\njxVQvo3IYMYK4daTWrJjVw79xqRTOT6Wv53XXp8YRSRUZvYAkQseg3YXFVDNKfjuZoG33cysL9AX\noEmTJsUQpYjsj+8WrOX+j2ewbMN2rjm2KX/q0ZbqlTT7WGnQbzkEd5/emh3ZuQwYl0Hl+FjuP6ut\nEmsRCYWZ9QZ+B5wadNeDvY+D2dfYGiAyDgYYAJCSkqL+biIlbNO2LB4bMZv3Jy4jqW413r/pWLo0\nrx12WBWKkuoQmBn3n9WWHVk5exLre05vHXZYIlLBmFkP4F6ge3DXcLfhwGAzexpowH/HwRjB2Bpg\nOZEufleUbtQikt9XM1fx109nkvnrLm45qQV3ndpKU/iGQEl1SMyMh89tz86sXPr9ZwGV42O49aSW\nYYclIuWUmQ0BTgLqmtky4CEis31UAkYHd8vS3P3mfYyD+c3YmlJvjIgAsGbLDh4ePosRM1bRrv4h\nvHHtMXRomBh2WBWWkuoQxcQY/7jwyDyDF2Ppc3zzsMMSkXLI3S8voPj1vdQvbBzMb8bWiEjpcnc+\nnrycRz6fzfZdOfzxzDb0PTGJ+NiiTOomxU1JdchiY4x/X3IUO7NyefTz2VSOj+HKrk3DDktERETK\noGUbtvHnYTMZN38tyU1r8cRFHWl5aPWwwxKUVJcJcbEx9Lv8aG5+dxJ/+WQmleNiuSi50b4PFBER\nkQohN9d596fFPPHlXBz423ntuTq1qabmLUOUVJcRCXExvHhlZ254ayJ//HAaCXExnHtUg7DDEhER\nkZD9snYr9300nQmLNnBCq7r844IjaVy7athhST5KqsuQyvGxDLgmmWsHTuDu96ZSKS6GM9ofHnZY\nIiIiEoKfF67n+THp/JixnmoJcfzrkqO4qHNDTcNbRqlHexlTNSGO169NoUPDRG4fPIWx89eGHZKI\niIiUsg8mLuWyV9L4bsE6cnOdf196FBcnN1JCXYYpqS6DalSO563rutDy0Or0fXsiP/6yPuyQRERE\npBTsyMrhya/m8qePpu9ZrtSAeau2hBmW7Acl1WVUYtV43unThSa1q9LnrQlMWpwZdkgiIiJSgiYs\nyuTsft/x4re/cHLrelSKiyHWID4uhtSkOmGHJ/ugPtVlWJ3qlRh0Q1cuG5DGtQMnMOjGrnRsVDPs\nsERERKQYbd2ZzZNfzeXtHxfTsGYV3r6+Cye2rsekxRtIy1hPalIdkpvWCjtM2QddqS7jDj2kMoNu\n6Epi1Xiufv1nMzo4wgAAIABJREFU5qzcHHZIIiIiUkzGzl/Lmc+M4520xVx7XDNG3X0iJ7auB0By\n01rcdnJLJdRRQkl1FGhQswpDbkylSnwsV732E+lrtoYdkoiIiByEjdt2cc/7U+k98Gcqx8fw4c3H\n8vB57alWSZ0IopWS6ijRuHZVBt/YFTPjytfSWLz+17BDEhERkQMwYsZKTnt6LMOnruD2k1vyxZ0n\nkNy0dthhyUFSUh1FkupVZ9ANXdmVncsVr/7E8o3bww5JRERE9tOazTu4+Z1J3DpoMocnVubT27vx\nhzPbUDk+NuzQpBgoqY4ybQ6vwTt9urJ5RxZXvJrG6s07wg5JRERE9sLdeX/iUk57eixj5q3h3h5t\n+eTWbrRvkBh2aFKMlFRHoQ4NE3nr+i6s27KTK15NY93WnWGHJCIiIgVYmrmNq1//mT99OJ22hx/C\nV3edwC0ntSAuVilYeaPe8FGqc5NaDLz2GHq/8TMXvfgD53VqwEltDtUIYRERkTIgJ9d5+8dFPPnV\nPGIMHj2/A1d2aUJMjFZELK/0MSmKdU2qw5/ObMPizG08PyadK15NY9LiDWGHJSJlkJkNNLM1ZjYz\nT9klZjbLzHLNLCVf/fvNLN3M5pnZmXnKewRl6WZ2X2m2QSRapK/ZwiUv/8DfPptN16TajLqnO1en\nNlVCXc4pqY5y27Ny2f0/ujM7l0+nLA83IBEpq94EeuQrmwlcCIzLW2hm7YBeQPvgmBfNLNbMYoH+\nwFlAO+DyoK6IAFk5ubwwZgFnP/c9Get+5ZnLjuKNa4+hYc0qYYcmpUDdP6JcalIdEuJi2JWdizsM\nnbCE41rWpUeHw8MOTUTKEHcfZ2bN8pXNATD7zdWznsBQd98JLDSzdKBLsC/d3TOC44YGdWeXXOQi\n0WHGsk388cNpzF21hXM61udv57WnbvVKYYclpUhJdZRLblqLQTekkpaxnraH1+CFb9K5ZdAk7u3R\nlptOTCrozVJEZF8aAml5Hi8LygCW5ivvWtATmFlfoC9AkyZNSiBEkbJhR1YOz3w9n1fHZVC3eiVe\nuTqZM9vrwlZFpKS6HEhuWmvPAMVuLevyhw+m8fiXc1m49lcePb8DCXHq5SMiRVLQp3Gn4C6DXtAT\nuPsAYABASkpKgXVEot1PGeu57+MZLFz3K72Oacz9Zx9BYpX4sMOSkCipLmcqx8fSr9fRNK9bjefH\npLMkcxsvX5VMYlX9k4vIflsGNM7zuBGwItgurFykwtiyI4snvprLu2lLaFy7CoNu6Eq3lnXDDktC\npqS6HIqJMf7vjDY0r1uN+z6awQUvjWdg72NoVrda2KGJSHQYDgw2s6eBBkAr4GciV7BbmVlzYDmR\nwYxXhBalSCmbtHgDg39azNh5a1m/bRd9jm/O/53RmqoJSqdESXW5dmHnRjSqVZWb3pnIBS+O55Wr\nU+jSvHbYYYlICMxsCHASUNfMlgEPAZnA80A94Aszm+ruZ7r7LDN7n8gAxGzgNnfPCZ7ndmAkEAsM\ndPdZpd8akdL3zbw13PDmRHLcMeAfFx7J5V00XkD+S0l1OdeleW2G3dqN69+cwJWvpfHERR25sHOj\nsMMSkVLm7pcXsmtYIfUfAx4roHwEMKIYQxMp09ydz6ev5N4Pp5PjkeEBMQaZv+4KOTIpazSCrQJo\nVrcaw27tRkrT2tzz/jT+PWoeubkaNyQiIrI3qzfv4Ma3J3HHkCnUr1mZSnExxBrEx8WQmlQn7PCk\njNGV6goisWo8b13fhb9+MpPnx6SzcN2v/OuSo6gcHxt2aCIiImWKu/PehKU8NmIOu7JzeeDsI7iu\nWzOmLdtEWsZ6UpPq7Jl1S2S3IiXVZtYDeI5IX7rX3P3xfPsrAW8DycB64DJ3XxTsux/oA+QAd7r7\nyKC8JvAa0IHI1EzXu/uPB9EmKURCXAyPX3QkzetV44mv5rJ843YGXJ1CvRqanF5ERARgyfpt3Pfx\ndH74ZT1dm9fmiYs67hnon3cKW5H89rv7x34uT9sH2ODuLYFngCeCYwtc8jY45jngK3dvCxwFzDnw\n5si+mBk3d2/BS1cmM2flZs7vP555q7aEHZaIiEiocnKd177L4IxnxzJ92Sb+ccGRDLkxVTNnyX4r\nSp/qLgTL07r7LmD38rR59QTeCrY/BE61yJJ+e5a8dfeFQDrQxcwOAU4EXgdw913uvvHAmyP7q0eH\nw3n/pmPJysnlopd+YOz8tWGHJCIiEor5q7dw0Us/8Pcv5nBci7qMvudErujahJgYrUos+68oSXVD\nfrs8bcPC6rh7NrAJqLOXY5OAtcAbZjbFzF4zM30kLCUdG9Xkk9u60bh2Va5/cwLvpC0OOyQREZFS\nsys7l+e+XsA5/b5jSeY2nuvVidd7p1A/sUrYoUkUKkpSXdiytftTp7DyOKAz8JK7Hw38CtxX4A83\n62tmE81s4tq1uqpaXBrUrMIHNx9L99b1+OsnM/nbZ7PI0cwgIiJSzk1bupHzXvieZ76ez9lH1mf0\n3SfSs1NDIjfYRYquKEn13pat/U0dM4sDEoksLlDYscuAZe7+U1D+IZEk+zfcfYC7p7h7Sr169YoQ\ntuxL9UpxvHpNCtd3a84b4xdx49sT2bozO+ywREREit32XTn8Y8QcLnhxPBu3ZfHaNSk81+to6lTX\noH05OEVJqicQLE9rZglEBh4Oz1dnONA72L4YGOPuHpT3MrNKwfK2rYCf3X0VsNTM2gTHnEpkBS8p\nZbExxoPntuPR8zswdv5aLn7pB1Zs3B52WCIiIsXmx1/Wc9Zz4xgwLoNeXZow6p4TOa3dYWGHJeXE\nfk+p5+7ZBS1Pa2aPABPdfTiRAYfvmFk6kSvUvYJjC13yFrgDGBQk6hnAdcXUNjkAV6c2pUntqtw+\naDI9+4/n9d4pdGxUM+ywREREDtjmHVk8/uVcBv+0hKZ1qjL4xq4c16Ju2GFJOWPu0dd/NiUlxSdO\nnBh2GOXa/NVbuO6NCaz/dSfPXtaJHh3qhx2SSLlgZpPcPSXsOEqTztkSpv/MWc0Dw2ayZssObjgh\nibtPa02VBC18JvunKOdsLVMuBWp9WA0+ua0bR9Q/hJvfncxL3/5CNH4AExGRimn91p3cOWQKfd6a\nSGKVeD6+tRt/PvsIJdRSYrRMuRSqXo1KDLkxlT98MI0nvprLwnVb+fv5R5IQp89iIiJSNrk7w6et\n4G+fzWbLjizuPq01t5zUQu9dUuKUVMteVY6PpV+vo0mqW41+Y9JZmrmdW7q3YMaKTaQm1dFyrSIi\nUmas3LSdvwybyX/mruGoxjV58qKOtDm8RthhSQWhpFr2KSbGuOeMNjSrW40/fTidtIz1mEFCXAyD\nbkhVYi0SBcxsIPA7YI27dwjKagPvAc2ARcCl7r4hWAn3OeBsYBtwrbtPDo7pDfwleNq/u/tbiIQs\nN9cZOmEp/xwxh6zcXP5yzhFc1605sVoRUUqR7oXIfruwcyMuSWmMA7kOO7NySctYF3ZYIrJ/3gR6\n5Cu7D/iPu7cC/sN/F986i8jUp62AvsBLsCcJfwjoCnQBHjIzfaqW0ExavIHHvpjNuS98x5+HzaBD\nw0RG/v5EbjghSQm1lDol1VIkFyc3olLQL82Bb+auZd3WneEGJSL75O7jiEx1mldPYPeV5reA8/OU\nv+0RaUBNM6sPnAmMdvdMd98AjOa3ibpIqZiwKJPLXvmRV79byKwVW7ilexKDb+xK0zrVwg5NKigl\n1VIkyU1rMfjGVP5wRmuu69aM6cs30ePZcXwzb03YoYlI0R3m7isBgu+HBuUNgaV56i0LygorFylV\nc1dt5o7Bk8nOjcxKFWtQvXK8lhiXUKlPtRRZctNae/pRX3ZMY+4aMpXr3phA72Obcv/ZR1A5XtMV\niUS5gjIT30v5b5/ArC+RriM0adKk+CKTCm1ndg79v/mFF79Jp2pCLPGxRm6uEx8XQ2pSnbDDkwpO\nSbUclLaHH8Knt3fjia/m8sb4Rfzwy3qe63U07RocEnZoIrJvq82svruvDLp37L7ltAxonKdeI2BF\nUH5SvvJvC3pidx8ADIDI4i/FG7ZURFOWbODej6Yzf/VWLji6IX/9XTsWrvuVtIz1mo1KygR1/5CD\nVjk+lofObc/b13dh4/Yszu8/nte+yyA3V++jImXccKB3sN0b+DRP+TUWkQpsCrqHjATOMLNawQDF\nM4IykRKzbVc2j34+mwtf+oEtO7IZeG0Kz1zWidrVEkhuWovbTm6phFrKBF2plmJzYut6jPz9idz7\n0XT+/sUcvp23ln9dchSHJ1YOOzSRCs/MhhC5ylzXzJYRmcXjceB9M+sDLAEuCaqPIDKdXjqRKfWu\nA3D3TDN7FJgQ1HvE3fMPfhQpNj+kr+O+j2ewJHMbV6U24d4ebalROT7ssEQKZNG49HRKSopPnDgx\n7DCkEO6R+UIf+Ww2leJj+OcFR3LWkfXDDkukTDCzSe6eEnYcpUnnbCmqTduz+OeIOQydsJTmdavx\n+IVH0lV9piUERTln60q1FDsz4/IuTejavDZ3DZ3KLYMmc2lKIx46tz3VKulPTkRECjdq1ir+8slM\n1m3dyU3dk7j7tNYaAC9RQRmOlJiketX56JbjePbr+bw09hd+XpjJs72OplPjmmGHJiIiZcy6rTt5\nePgsPp++kraH1+C13il0bKT3C4keGqgoJSohLoY/9WjL0BtTycpxLnrpB57/zwJyNIhRRESIdBkc\nNmUZpz09llGzVvOHM1rz2R3HK6GWqKMr1VIquibVYcRdJ/DXT2by79HzGTt/Lc9c1onGtauGHZqI\niIRkxcbtPDBsBt/MW0vnJjV58uKOtDy0RthhiRwQXamWUpNYJZ5+lx/Ns5d1Yt6qLZz13HcMm7KM\naBwsKyIiBy4313knbTGnPz2WtIxMHjq3HR/cfJwSaolqulItpe78oxuS3LQW97w/lbvfm8aYuWv5\n+/kdSKyiaZJERMq7jLVbue+jGfy8KJPjW9blnxceqbuWUi4oqZZQNK5dlaF9j+Wlb9N55usFTF68\ngacvPUpTJomIlFPZObm89v1Cnhk9n0pxMTx5cUcuSW6EmYUdmkixUPcPCU1sjHH7Ka346JbjiI81\ner2axpNfzWVXdm7YoYmISDGavWIz5784nse/nMtJberx9T3duTSlsRJqKVd0pVpC16lxTb648wQe\n+Ww2L377C98tWMezvTrRol71sEMTEZGDsCMrhxfGpPPy2F+oWTWBl67srMXApNzSlWopE6pViuOJ\nizvy8lWdWbphG7/r9z2Df1qiQYwiIlFq0uJMzun3HS98k07PTg35+p4TlVBLuaYr1VKm9OhQn06N\na/GHD6bx52EzGDZlGV2a1+aUtoeR3LRW2OGJiMg+jE9fx79HzWPyko00rFmFt67vQvfW9cIOS6TE\n6Uq1lDmHJ1bm7eu7cO1xTZmwaAP9v/mFXgN+ZNKizLBDExGRvRj4fQZXvfYTk5dsJDbGeOLijkqo\npcJQUi1lUkyMUa9GZWKCMSxZOc5d701l3qot4QYmIiK/sWlbFn/4YBqPfD6HPZ323Jm2dGOYYYmU\nKiXVUmalJtUhIS6GWIP4WGPjtl2c3e87Hv18Nlt2ZIUdnoiIAF/NXMlpz4xl2JTlXHh0QyrvPm/H\nxZCqaVKlAlGfaimzkpvWYtANqaRlrCc1qQ5Jdavx5Mh5DBy/kOHTVvDA2UfQs1MDTckkcpDM7C7g\nRsCAV939WTOrDbwHNAMWAZe6+waL/MM9B5wNbAOudffJoQQuoVqzZQcPfTqLL2euol39Q3jj2mPo\n0DCRK1Ob7jlvayyMVCQWjbMrpKSk+MSJE8MOQ0IybelG/vrpTKYv20SX5rV5tGcH2hyupW0lOpjZ\nJHdPCTuO3cysAzAU6ALsAr4CbiGSZGe6++Nmdh9Qy93vNbOzgTuIJNVdgefcvevefobO2eWLu/PR\n5OU8+vlstmfl8PvTWnHjCUnEx+rmt5Q/RTln6z9Aos5RjWsy7NZu/OOCI5m/eou6hIgcnCOANHff\n5u7ZwFjgAqAn8FZQ5y3g/GC7J/C2R6QBNc1M86RVEEszt3HNwJ/5wwfTaH1Ydb686wRuPamlEmoR\n1P1DolRsjHFF1yac1eFwdQkROTgzgcfMrA6wncgV6InAYe6+EsDdV5rZoUH9hsDSPMcvC8pWll7I\nUtpyc523f1zEkyPnYcAjPdtzVdemxMToXCuyW5E+WppZDzObZ2bpwe3A/Psrmdl7wf6fzKxZnn33\nB+XzzOzMPOWLzGyGmU01M90flCKpVS2Bf154JJ/c2o36iZX5/XtTuWxAmmYJEdlP7j4HeAIYTaTr\nxzQgey+HFJRF/aYfoZn1NbOJZjZx7dq1xRKrhCN9zVYufeVHHv5sNinNajPy7hO55thmSqhF8tnv\npNrMYoH+wFlAO+ByM2uXr1ofYIO7twSeIXKiJqjXC2gP9ABeDJ5vt5PdvVNZ6mco0UVdQkQOnLu/\n7u6d3f1EIBNYAKze3a0j+L4mqL4MaJzn8EbAigKec4C7p7h7Sr16mqc4GmXl5NL/m3TOfu47FqzZ\nyr8vOYq3rjuGRrWqhh2aSJlUlCvVXYB0d89w911EBrb0zFcnbx+8D4FTg5HiPYGh7r7T3RcC6cHz\niRSb3V1Cvvm/k7g0pTEDxy/klH+P5ZMpy7Xcuche7O7aYWZNgAuBIcBwoHdQpTfwabA9HLjGIlKB\nTbu7iUj5MXP5Jnq+MJ6nRs7jtHaH8vU93bkouZG61onsRVGS6sL60RVYJxjwsgmos49jHRhlZpPM\nrG8R4hEpkLqEiBTZR2Y2G/gMuM3dNwCPA6eb2QLg9OAxwAggg8jFkVeBW0OIV0rIjqwcnvhqLj37\nj2ft1p28fFUyL16ZTL0alcIOTaTMK8pAxf3pR1dYnb0d283dVwRXSkab2Vx3H/ebHx5JuPsCNGnS\nZP+jlgprd5eQ9yYs5cmRczm733dce1wzfn9aK2pUjg87PJEyw91PKKBsPXBqAeUO3FYacUnpmrAo\nk3s/nE7Gul+5NKURD5zdjsSqOleK7K+iXKnen350e+qYWRyQSKR/XqHHuvvu72uAYRTSLUT98+RA\nqEuIiMjebd2ZzYOfzuSSl39kV04u7/bpypMXH6WEWqSIipJUTwBamVlzM0sgMvBweL46efvgXQyM\nCa5qDAd6BbODNAdaAT+bWTUzqwFgZtWAM4hM7yRSrNQlRETkt76dt4YznxnHO2mLua5bM0b+/kSO\nb1U37LBEotJ+d/9w92wzux0YCcQCA919lpk9Akx09+HA68A7ZpZO5Ap1r+DYWWb2PjCbyFRNt7l7\njpkdBgwLBj7EAYPd/atibJ/I/1CXEBER2PDrLh79YjYfT15Oy0Or8+HNx2lJcZGDpGXKpcLa8Osu\nnhw5j6ETllC3eiUeOPsIGteqQtrCTFKT6ugNRkpEWVumvDTonF12uDtfzlzFg5/OZOO2LG49qQW3\nndKSSnGx+z5YpAIqyjlbKypKhbW7S0ivYxrz109n8vv3prJ7LYOEuBgG3ZCqxFpEyo01m3fw109n\nMnLWao5smMjb13elXYNDwg5LpNxQUi0V3u4uIbe8O4lRs1cDsCMrlxEzViqpFpGoN2lRJq9+t5Bx\nC9aSk+vcf1Zb+hzfnLjYIi2qLCL7oKRahMgsITd1b8HY+WvZlZ2LAwO/X8im7VncdWorGtfWCmIi\nEn2+nLGS2wZPJtchxuC5Xp0496j8S0yISHFQUi0SSG5ai8E3ppKWsZ4j6tdgfPp63klbzCdTlnPp\nMY2545SW1E+sEnaYIiL7lJPrvPXDIv4xYg65wdApA5Zkbg81LpHyTEm1SB7JTWvt6fJxStvDuPGE\nJPp/k87QCUv4cNIyruzahFtOasGhNSqHHKmISMEWrN7CvR9NZ/KSjRzdpCazV2wmOyeX+LgYUpPq\nhB2eSLmlpFpkLw5PrMyj53fgpu5JPP+fdN7+cTFDfl5C7+OacfOJLahVLSHsEEVEAMjKyeXlb3/h\n+THpVKsUy7OXdaJnpwZMXrKRtIz1mtVIpIQpqRbZD41qVeWJizty80kteO7r+QwYl8GgtCVc360Z\nfU5IIrGK5rgWkfDMWLaJP344jbmrtnDuUQ146Nx21K1eCfjfO3AiUnKUVIsUQfO61Xi219HcenJL\nnv16Pv3GpPPmD4u4qXsLrj2uGdUq6V9KRErPjqwcnvl6Pq+Oy6BejUq8ek0Kp7c7LOywRCokZQAi\nB6D1YTV48cpkZq3YxDOj5/PUyHm8/v1CbunegquPbUrleC2kICIl66eM9dz38QwWrvuVy7s05r6z\njtBdM5EQKakWOQjtGyTyWu9jmLJkA0+Pns9jI+bw6ncZ3H5KSy47prFWKRORYrdlRxZPfDWXd9OW\n0KR2VQbf0JXjWtYNOyyRCk9JtUgxOLpJLd7p05WfMtbz71HzefDTWbwyNoM7TmnJRcmNiNciCyJS\nDL6Zu4Y/D5vB6s07uOH45txzRmuqJuitXKQs0Du9SDHqmlSH925K5Z0+XahXoxL3fTyD054ey8eT\nl5Gze7JYkTLGzO42s1lmNtPMhphZZTNrbmY/mdkCM3vPzBKCupWCx+nB/mbhRl8xZP66i98PncJ1\nb06geqU4PrrlOP7yu3ZKqEXKECXVIsXMzDihVT2G3Xocr/dOoVpCHPe8P40znx3HF9NXkqvkWsoQ\nM2sI3AmkuHsHIBboBTwBPOPurYANQJ/gkD7ABndvCTwT1JMS4u58Nm0Fpz89ls+nr+SuU1vx+Z3H\nc3QTzeYhUtYoqRYpIWbGqUccxud3HM9LV3bGgNsGT+ac579n9OzVuCu5ljIjDqhiZnFAVWAlcArw\nYbD/LeD8YLtn8Jhg/6lmZqUYa4WxevMObnx7EncMmULDWlX4/M7j+f/27jy8iirN4/j3zQphSUIS\nspBAEiRIQIKQQBAVFURQBB03xpkW95neZnTGURzbnl7strVXbR1tFW1xUFDEFsRuVndZElAiEJZA\nIAmBsEcQBELO/HELjBhoMCR3ye/zPPe5dU/VDe+bujm8t+qcqrsvzdFcDZEApfNGIs0sLMwYdU4q\nI3qnMHN5NX+Yt5Y7JhWTlx7LmH5pfHn4CIXZibqOrPiFc26zmf0GqAAOAHOApcAe51ydt1kV0MVb\n7gJUeu+tM7NaIAHY0fDnmtmdwJ0AXbt2be40QopzjqlFlfzi7VIO1dXzwOW9uGVIJhGamyES0FRU\ni7SQ8DDjqnO7MLpvKtOXbebR2av5+VulAESGr2Py7YMYmKVbCEvLMrN4fEefs4A9wGvAqEY2PXpq\npbGj0t847eKcewZ4BiA/P1+nZU5Rxc79TJhewsfrdzIoqxOPXNOXzMR2/g5LRE6BvvaKtLCI8DCu\nL8jgpsGZx6qTw0cct/25mD+9t57aA4f9Gp+0OsOBcufcdufcYWA6cB4Q5w0HAUgHqr3lKiADwFsf\nC+xq2ZBDz5F6x3MfbGDEH97js6pafnn1ObxyR6EKapEgoqJaxE+GnJVIdGQY4QaR4UZmYgwP/3U1\ngx+ez09mrKRi535/hyitQwVQaGYx3tjoYcAq4B3gWm+b8cCb3vIM7zXe+gVOEwSaZG3NXq556mMe\nmlXKkO6JzPmPC7lxUFfCwjRUXSSYaPiHiJ8M6BbP5NsLWbRhJ4XZCQzoFs/K6lomfljO5MWbmLRw\nI5f1TuH2C7Lo3zUezQWT5uCcW2xm04BlQB3wCb5hG7OAKWb2kNc20XvLROAlMyvDd4R6XMtHHRoO\n1dXz1LvreeKddXRoE8lj4/oxJi9Nf+siQcqC8QBDfn6+Ky4u9ncYIs1ma+2XTFq4kcmLK6g9cJh+\nGXHcfkEWI3unaLJSkDOzpc65fH/H0ZLUZ3/d0k27+csnm3lvzXYqdu9nbL80fjw6l4T20f4OTUSO\nczp9to5UiwSglNg23DvybH5wyVm8vrSKiR+W84OXP6FLXFtuGZLJDQUZdGgT6e8wReQ0fVy2g+88\nv+TYzaDuH3U2/zK0u5+jEpEzQYe8RAJYTFQE3xmcyfz/vIhnvjOALvFteWhWKYMfXsBDb62iarfG\nXYsEi4Xrd/K9l5cdK6jDDep0MyiRkKEj1SJBIDzMGNE7hRG9Uyip2sPED8t54eONvPDxRkb2SeH2\n87N0hzWRAPX5l4d5+O3VvLKkgpSO0USFh3Gkvp7IiDAKs3UZTZFQoaJaJMj0TY/jsXHnct/Is3lx\n4UZeXlzBrJIt5HeL5/YLsrg0N4VwXTVAJCDML63hgTdWsG3vl9x5YTZ3D89h1ZbPvzZBWURCgyYq\nigS5fQfreK24kuc/Kqdy1wEyOrXl1iFZXJefQftofW8ONJqo2Drs3HeQn85cxYzl1Zyd0oFHrulL\nXkacv8MSkdOkiYoirUj76AhuGZLFTYMzmbtqK899UM5PZ67id3PXcuPArtw8JJPU2Lb+DlOkVXDO\nMWN5NT+ZsZJ9B+u4e3gO372oO1ERmsIkEupUVIuEiPAwY2SfVEb2SeWTit0892E5z36wgYkflnNF\n31TO757Itn0HdcpZpJlsqT3Aj95YwfzV2+iXEcej1/YlJ7mDv8MSkRaiolokBJ3bNZ4nb4ynctd+\nXvzYd73rNz/13WU6MtyYdOtABndP9HOUIqGhvt7xSlEFD7+9miP1jgdH53LzeZma2yDSyqioFglh\nGZ1i+NHoXNpFh/P4/DIccPiI4+YXihhXkMENBV3JTevo7zBFgtbGHV8wYXoJizbsYshZCTx8dV+6\nJsT4OywR8QMV1SKtwIU5nfnT+xs4XFdPeFgYA7M68UpRJS8u3ETf9FhuKMhgTF6abigjcorqjtTz\n/Efl/HbOWqIiwnjkmnO4Pj9DtxgXacVOq6g2s5HAY0A48Jxz7lfHrY8GJgEDgJ3ADc65jd66+4Hb\ngCPAvznnZjd4XzhQDGx2zo3+1tmISKMGdItn8u2FX7uM1579h/jLJ5uZUlTJA2+s4KG3Srmibyrj\nCjIY0C1nsyPvAAASM0lEQVRexYHICZRu+Zz7Xi+hpKqWS3OTeeiqPiR3bOPvsETEz065qPYK3yeB\nS4EqoMjMZjjnVjXY7DZgt3PuLDMbBzwC3GBmucA4oDeQBswzsxzn3BHvff8OlAI6Dy3STAZ0i//a\nBMW4mChuHpLF+PMyKamqZUpRJTM+3cy0pVVkJ7VjXEEG/9A/ncT20X6MWiRwHKw7wpPvrOd/3ykj\ntm0kT9x4Lleck6ovoCICnN6R6oFAmXNuA4CZTQHGAg2L6rHAT7zlacAT5uttxgJTnHMHgXIzK/N+\n3kIzSweuAH4B/EcTchGRb8HMyMuIIy8jjh9d0YtZn21halElv3x7NY/+bQ2X5iZzQ0EGF/RI0sQr\nabWWVezmvmklrNu2j384twsPjs4lvl2Uv8MSkQByOkV1F6CywesqYNCJtnHO1ZlZLZDgtS867r1d\nvOU/APcCuu6QiJ+1i47g+vwMrs/PYF3NXqYWVTL9k838dcVW0mLbcF1+Btflp5Mer4lY0jrsP1TH\nb2av5YWPy0nt2IYXbing4p6d/R2WiASg0ymqGztEdfztGE+0TaPtZjYa2OacW2pmF530Hze7E7gT\noGvXrn8/WhFpkh7JHfjR6Fz+a2RP5q3axpSiCh5fsI7HF6zjgh5JjCvIYHivZN3UIsiZWU9gaoOm\nbODH+ObHTAUygY3A9c653d7Zx8eAy4H9wM3OuWUtGXNL+ahsBxOml1C56wDfKezGvSN7ajKviJzQ\n6RTVVUBGg9fpQPUJtqkyswggFth1kveOAcaY2eVAG6Cjmf2fc+6fj//HnXPPAM+A75a3pxG3iDRB\ndEQ4V/RN5Yq+qVTt3s9rxVW8VlzJ9yYvo1O7KK7p34UbCjI4q7NONgUj59waoB8cmzuzGXgDmADM\nd879yswmeK/vA0YBPbzHIOApvnnWMqjVHjjML2eVMrW4kqzEdky9s5BB2Qn+DktEAtzpFNVFQA8z\ny8LX6Y4DbjxumxnAeGAhcC2wwDnnzGwG8LKZ/Q7fRMUewBLn3ELgfgDvSPU9jRXUIhIY0uNjuPvS\nHP5tWA8+WLedqUWVvPDRRp79oJz8bvFcX5DB6L6pxETpap1Bahiw3jm3yczGAhd57S8C7+IrqscC\nk5xzDlhkZnFmluqc2+KPgM+02Su38uBfVrDzi0P869Du3DW8B20iw/0dlogEgVP+n88bI/0DYDa+\nS+o975xbaWY/A4qdczOAicBL3kTEXfgKb7ztXsU3qbEO+H6DK3+ISJAJDzMu6tmZi3p2Zvveg7zx\nSRVTiiq5d1oJP5u5iivz0uiXEcuOfQcpzE7UbdGDxzjgFW85+Wih7JzbYmZHBxI3Nr+mCxDURfX8\n0hoe/dsa1tTspVdqRyaOL+Cc9Fh/hyUiQcR8BxuCS35+visuLvZ3GCLSgHOO4k27mbKkkpnLN3Po\niK9viQgzHhvXjyv6pvk5wsBgZkudc/n+juN4ZhaFb1heb+dcjZntcc7FNVi/2zkXb2azgIedcx96\n7fOBe51zS4/7eQ3nwQzYtGlTi+VyOpxz/H7uWh5fUAb4Pq8v3zGIgVka7iEip9dna4aRiJwRZkZB\nZid+e30e/3pR92Ozk+vqHd9/+RPGPPEhz76/gS21B/wap5zQKGCZc67Ge11jZqkA3vM2r/1U5tfg\nnHvGOZfvnMtPSkpqxrC/vc17DnDLn4uOFdTgK7KLNu72Y1QiEqxUVIvIGTc0pzPRkWGEG0RHhHHT\n4G44B794u5TBDy/g+qcX8tLCjezYd9DfocpX/pGvhn7AV3Nk8J7fbNB+k/kUArXBNp66vt7x0sKN\njPjdeywp38VtQzJp431eIyPCKNSkRBH5FjT8Q0SaxdJNu792W3SA8h1f8NbyamYsr2bdtn2Ehxnn\ndU/gyrw0LuudQmzb0L9cWSAO/zCzGHzjpLOdc7VeWwLwKtAVqACuc87t8i6p9wQwEt8l9W5xzp20\nQw6kPnvD9n1MeP0zlmzcxQU9Evnl1eeQ0Smm0c+riMjp9NkqqkWkxTnnWFOzl5nLq5m5fAsVu/YT\nFR7GhTlJjOmXxvBenUP2CiKBWFQ3t0Dos+uO1PPsB+X8ft5a2kSE8eDoXK4dkK5bjIvISZ1Onx2a\n/2uJSEAzM85O6cjZKR25Z0RPSqpqmbG8mrdKqplXWkPbyHCG9erMlXlpDM1J0iXNpElWVtdy3+sl\nrNj8OSN7p/Czq3rTuUMbf4clIiFGRbWI+JWZkZcRR15GHA9c3ouijbuYWVLN259t5a2SLXSIjuCy\nPilcmZfGed0TiAzXVBA5NV8ePsIfF6zj6fc2EB8TxVP/1J9R56T6OywRCVEqqkUkYISFGYOyExiU\nncBPruzNR+t3MnN5NbNXbGXa0io6tYtiVJ8UxuSlUZDZibAwnbqXxi3dtIt7p5WwfvsXXNM/nQdH\n9yIuJsrfYYlICFNRLSIBKSI8jKE5SQzNSeKhq/rw/trtzCzZwvRlm5m8uIKUjm24om8qV+alkZce\ny7KKPZpoJnxxsI5fz17Diws3khbblhdvHcjQnMC8pJ+IhBYV1SIS8NpEhjOidwojeqew/1Ad80q3\nMXN5NS8t3MTED8tJ7hDNzi8OUe8cURFhTL69UIV1K/T+2u3cP/0zqmsPMH5wJvdc1pP20fpvTkRa\nhnobEQkqMVERjMlLY0xeGrUHDjNn5VaefKeMur2+Kxl9ebien7+1kruG5zC4ewLREZrkGOpq9x/m\n57NWMW1pFdlJ7XjtXwaTn9nJ32GJSCujolpEglZs20iuy88gO6k9Nz67iEN19ZhB6Za93PxCEe2i\nwhnaM4lLc5O5uGdnjakNQX9bsYUH31zJri8O8f2Lu/PDS3roajEi4hcqqkUk6A3oFs/LdxQeG1Pd\nO60jC9fvZM6qGuaX1vD2Z1sJDzMKMuMZ3iuZS3OT6ZbQzt9hSxNs2/sl//PmSv66Yiu90zry51sK\n6J0W6++wRKQV081fRCSk1dc7SjbXMm9VDfNKa1i9dS8AOcntjxXYeelxLXYlEd38pWmcc0xbWsVD\ns0o5cPgIdw3vwR0XZOtSiyLSLHTzFxERT1iY0S8jjn4ZcdxzWU8qdu5nXmkNc1fV8Kf3N/C/764n\nqUM0w3t1ZnivZIaclajhAwGqctd+/vuNz/hg3Q4KMuP51TV96Z7U3t9hiYgAKqpFpJXpmhDDredn\ncev5WdTuP8y7a7cxZ1UNM5dv4ZUllbSNDOeCHokMz01m2NmdSWgf7e+QW736esekhRt5dPYaDPjZ\n2N7886Buuk65iAQUFdUi0mrFxkQytl8XxvbrwqG6ehZt2Mm80hrmraphzqoazGBA13iG5/qGieio\naMsr27aPCa+XULxpN0NzkvjF1X1Ij4/xd1giIt+gMdUiIsdxzrGy+vNjw0RWVn8OQHZiOy7NTSaj\nUwx79h9icPfE074etsZUn5ol5Tv544IyFq7fSfs2Efx4dC5Xn9sFMx2dFpGWozHVIiJNYGb06RJL\nny6x3DU8h+o9B44V2M99uIEj9b7toiPKePkO3WjmTFu8YSfjnl2EcxBm8Nvr8hjWK9nfYYmInJSm\nS4uI/B1pcW25aXAmL902iB9cfBZHj5XWHfENGQl2ZhZnZtPMbLWZlZrZYDPrZGZzzWyd9xzvbWtm\n9riZlZlZiZn1P9PxFG/aDd5JVINjV2wREQlkKqpFRE7DhTmdiY4MI9wgMiKMwuwEf4d0JjwG/M05\ndzaQB5QCE4D5zrkewHzvNcAooIf3uBN46kwHU5idEIq/YxEJcRr+ISJyGgZ0i2fy7V/daCbYh36Y\nWUfgQuBmAOfcIeCQmY0FLvI2exF4F7gPGAtMcr4JOYu8o9ypzrktZyqmUPsdi0jroKJaROQ0DegW\nH0qFXjawHXjBzPKApcC/A8lHC2Xn3BYz6+xt3wWobPD+Kq/tjBXVEHK/YxFpBTT8Q0SkdYsA+gNP\nOefOBb7gq6EejWns8hvfuIyUmd1pZsVmVrx9+/YzE6mISABTUS0i0rpVAVXOucXe62n4iuwaM0sF\n8J63Ndg+o8H704Hq43+oc+4Z51y+cy4/KSmp2YIXEQkUKqpFRFox59xWoNLMenpNw4BVwAxgvNc2\nHnjTW54B3ORdBaQQqD2T46lFRIKVxlSLiMgPgclmFgVsAG7Bd9DlVTO7DagArvO2fRu4HCgD9nvb\nioi0eiqqRURaOefcp0Bjdwwb1si2Dvh+swclIhJkgvI25Wa2Hdj0Ld6aCOw4w+EECuUWvEI5P+X2\nTd2cc61qkLH67EaFcm4Q2vkpt+D1bfI75T47KIvqb8vMik/1/u3BRrkFr1DOT7lJU4Ty7ziUc4PQ\nzk+5Ba/mzk8TFUVEREREmkhFtYiIiIhIE7W2ovoZfwfQjJRb8Arl/JSbNEUo/45DOTcI7fyUW/Bq\n1vxa1ZhqEREREZHm0NqOVIuIiIiInHEhVVSb2d1mttLMVpjZK2bWxsyyzGyxma0zs6nezQ0ws2jv\ndZm3PtO/0X+TmT1vZtvMbEWDtk5mNtfLZ66ZxXvtZmaPe/mUmFn/Bu8Z722/zszGN/ZvtbQT5PZr\nM1vtxf+GmcU1WHe/l9saM7usQftIr63MzCa0dB6NaSy3BuvuMTNnZone66Dab3Di/Mzsh96+WGlm\njzZoD+p9Z2b9zGyRmX1qZsVmNtBrD7p9F2jUZwfP50d9tvrsYNl3fu2znXMh8QC6AOVAW+/1q8DN\n3vM4r+1p4Lve8veAp73lccBUf+fQSE4XAv2BFQ3aHgUmeMsTgEe85cuBvwIGFAKLvfZO+O6Q1gmI\n95bjAzS3EUCEt/xIg9xygeVANJAFrAfCvcd6IBuI8rbJDcTcvPYMYDa+6/UmBuN+O8m+uxiYB0R7\nrzuHyr4D5gCjGuyvd4N13wXSA/XZQfX5OUFu6rMDfL+dZN+pz26GfRdSR6rx3SGyrZlFADHAFuAS\nYJq3/kXgKm95rPcab/0wM7MWjPXvcs69D+w6rrlh3MfnM8n5LALizCwVuAyY65zb5ZzbDcwFRjZ/\n9CfXWG7OuTnOuTrv5SIg3VseC0xxzh10zpXjuz3yQO9R5pzb4Jw7BEzxtvWrE+w3gN8D9wINJzIE\n1X6DE+b3XeBXzrmD3jbbvPZQ2HcO6OgtxwLV3nLQ7bsApD47SD4/6rOPCar9BuqzacE+O2SKaufc\nZuA3QAW+jrkWWArsafBHX4Xv6Ajec6X33jpv+4SWjPlbSnbObQHwnjt77cfy8RzN9UTtge5WfN8o\nIQRyM7MxwGbn3PLjVgV9bp4c4ALvtPx7ZlbgtYdCfncBvzazSnx9zP1eeyjk5jfqs0Pu86M+O0hy\n86jPbobcQqao9sapjcV3uiINaAeMamTTo984GzvCEcyXQjlRPkGXp5k9ANQBk482NbJZ0ORmZjHA\nA8CPG1vdSFvQ5NZABL7TZoXAfwGvekcRQyG/7wJ3O+cygLuBiV57KOTmN+qzQ+fzoz47eHJrQH22\nzxnNLWSKamA4UO6c2+6cOwxMB87Dd3g/wtsmna9OA1ThGy+Ftz6Wxk//BJoa73QF3vPRUzbH8vEc\nzfVE7QHJmyAwGvgn5w12Ivhz646vcFhuZhvxxbnMzFII/tyOqgKme6fVlgD1QCKhkd94fP0JwGv4\nToNCaOTmT+qzQ+Dzoz476HI7Sn12M+QWSkV1BVBoZjHet61hwCrgHeBab5vxwJve8gzvNd76BQ06\nhEDWMO7j87nJm91aCNR6pxpnAyPMLN47MjTCaws4ZjYSuA8Y45zb32DVDGCc+Wb/ZwE9gCVAEdDD\nfFcLiMI3eWlGS8f99zjnPnPOdXbOZTrnMvH9Afd3zm0lBPab5y/4xsJiZjn4JrLsIMj3nacaGOot\nXwKs85ZDZd/5i/rsIP/8qM8Ozv3mUZ/dHPvOBcDM1DP1AH4KrAZWAC/hm72aje8DUYbvG8vRma5t\nvNdl3vpsf8ffSD6v4BtreBjfH/Vt+MYQzvc+JPOBTt62BjyJb3buZ0B+g59zq5dnGXCLv/M6SW5l\n+MY1feo9nm6w/QNebmvwZvV67ZcDa711D/g7rxPldtz6jXw1kzyo9ttJ9l0U8H/e394y4JJQ2XfA\n+fjG+i4HFgMDgnXfBdpDfXbwfH7UZ6vPDpZ9588+W3dUFBERERFpolAa/iEiIiIi4hcqqkVERERE\nmkhFtYiIiIhIE6moFhERERFpIhXVIiIiIiJNpKJaRERERKSJVFSLiIiIiDSRimoRERERkSb6f3WY\nakthQfpLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d31123d6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure( figsize=(12,8) )\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.plot(test,Q1_test,'.-')\n",
    "plt.title('Q1')\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(test,Q12_test,'.-')\n",
    "plt.title('Q2')\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(test,gM_test,'.-')\n",
    "plt.title('gM')\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(test,Cr_test,'.-')\n",
    "plt.title('Cr')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---  exponential variogram: range = 0.3, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.0596012694941 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.919229596693\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 370.253548479\n",
      "Geometric mean error variance = 1056.32030014\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.0650361158908 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.993528916684\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 382.225564044\n",
      "Geometric mean error variance = 984.42585004\n",
      " \n",
      "---  exponential variogram: range = 0.4, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.070231428977 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.07309275022\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 380.527492136\n",
      "Geometric mean error variance = 919.430371334\n",
      " \n"
     ]
    }
   ],
   "source": [
    "for i in 0.3,0.35,0.4:\n",
    "    vario = geo.Variogram(rang=i, sill=1300, typ=\"exponential\")\n",
    "    print('--- ',vario)\n",
    "    ctest( vario, makeplot=False)\n",
    "    print(' ')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "spherical variogram: range = 1.7, sill =0.8, nugget =0\n"
     ]
    },
    {
     "data": {
      "image/png": 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IPscqve/YlbTaM0IcMsqxxtxQVWxy//HgNh1FeZl9KgFNDnnd73Zbbl6pu2OJIEBxKpCV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\niIjIE/4fYrjqCSqN12QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c19978a048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.arange(0, 1, 0.025)\n",
    "nx = len(xs)\n",
    "xx, yy = np.meshgrid(xs, xs)\n",
    "\n",
    "xx.shape = (nx*nx,1)\n",
    "yy.shape = (nx*nx,1)\n",
    "\n",
    "xu = np.zeros( (nx*nx,2) )\n",
    "xu[:,0] = xx[:,0]\n",
    "xu[:,1] = yy[:,0]\n",
    "\n",
    "vu, stdu = geo.ordinary_kriging_variogram(x,v,xu,variomod)\n",
    "\n",
    "\n",
    "print(variomod)\n",
    "\n",
    "xx.shape = (nx,nx)\n",
    "yy.shape = (nx,nx)\n",
    "vu.shape = (nx,nx)\n",
    "stdu.shape = (nx,nx)\n",
    "\n",
    "v.shape=(n,)\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots( figsize=(14,5), ncols=2 )\n",
    "cmap = plt.get_cmap('terrain')\n",
    "\n",
    "cf = ax0.pcolormesh(xx, yy, vu, cmap=cmap  )\n",
    "ax0.axis('tight')\n",
    "ax0.plot(x[:,0], x[:,1],'k+')\n",
    "ax0.set_title('Kriged map')\n",
    "ax0.set_xlabel('x')\n",
    "ax0.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax0)\n",
    "\n",
    "cf = ax1.pcolormesh(xx, yy, np.sqrt(stdu), cmap=cmap  )\n",
    "ax1.axis('tight')\n",
    "ax1.plot(x[:,0], x[:,1],'k+')\n",
    "ax1.set_title('Kriging standard deviation')\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "xs = np.arange(0, 1, 0.025)\n",
    "nx = len(xs)\n",
    "xx, yy = np.meshgrid(xs, xs)\n",
    "\n",
    "xx.shape = (nx*nx,1)\n",
    "yy.shape = (nx*nx,1)\n",
    "\n",
    "xu = np.zeros( (nx*nx,2) )\n",
    "xu[:,0] = xx[:,0]\n",
    "xu[:,1] = yy[:,0]\n",
    "\n",
    "vu, stdu = geo.ordinary_kriging_variogram(x,v,xu,variomod)\n",
    "\n",
    "print(variomod)\n",
    "\n",
    "xx.shape = (nx,nx)\n",
    "yy.shape = (nx,nx)\n",
    "vu.shape = (nx,nx)\n",
    "stdu.shape = (nx,nx)\n",
    "\n",
    "v.shape=(n,)\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots( figsize=(14,5), ncols=2 )\n",
    "cmap = plt.get_cmap('terrain')\n",
    "\n",
    "cf = ax0.pcolormesh(xx, yy, vu, cmap=cmap  )\n",
    "ax0.axis('tight')\n",
    "ax0.plot(x[:,0], x[:,1],'k+')\n",
    "ax0.set_title('Kriged map')\n",
    "ax0.set_xlabel('x')\n",
    "ax0.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax0)\n",
    "\n",
    "cf = ax1.pcolormesh(xx, yy, np.sqrt(stdu), cmap=cmap  )\n",
    "ax1.axis('tight')\n",
    "ax1.plot(x[:,0], x[:,1],'k+')\n",
    "ax1.set_title('Kriging standard deviation')\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax1)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
